When solving this equation, the first thing that we want to do is distribute both the -4 and the -6 to their respective parenthesis. Remember that to distribute, you must multiply everything in the parenthesis by the number being distributed. Doing this will give us
2x-12x-24 = -12x-6 - 4
The next step would be to combine like terms. Since 2x and -12x are on the same side, we should combine those first. Remember that the variable does not change, just the coefficient (so if you had $50 and spent $15, you still have dollars, just a different number of dollars). Doing this gives us
-10x - 24 = -12x - 6 - 4
We can also combine the -6 and the -4 to get
-10x - 24 = -12x - 10
We then want to add 12x to both sides, resulting in
2x - 24 = -10
Adding 24 to both sides gives us
2x = 14
Then divide both sides by 2 to isolate x. That gets the answer of x = 7
2x - 24 = -6
2x-4(3x+6) = -6(2x+1)-4
Here are some steps to follow.
1. Distribute the -4 to the 3x and 6, same with the -6 to the 2x and 1. Distribute meaning, multiply.
2. Combine like terms giving you -10x-24 = -12x-10
3. Add 12x to both sides of the equation and you will have 2x-24 = -10
4. Add -24 to both sides giving you 2x = 14
5. Divide both sides by 2 and you end up with 7
x=7
2x-4(3x+6)=-6(2x+1)-4
To solve this expression, let open the brackets,
2x-12x-24 = -12x-6-4
-10x-24 -12x-10
let make like terms to gether,
-10x+12x=24-10
2x=14
x = 14/2
x = 7
Hence, the solution of given expression is 7.
The first step to solving this equation is to use the distributive property to eliminate the parenthesis. So, you will multiply everything in the first set of parenthesis by 4 and everything in the second set of parenthesis by -6.
2x - 4(3x+6) = -6(2x+1)-4
2x - 12x - 24 = -12x - 6 - 4
The next step is to combine all like terms on the same side of the equal sign. Like terms in a multi step equation are constants (numbers without variables) and terms that have the same variable and exponent (in this case, the terms that have a number with an x.)
2x - 12x - 24 = -12x - 6 - 4 On the left hand side, the like terms are 2x and -12 x. When you combine these terms you are left with -10x. On the right hand side the like ters are -6 and -4. When you combine these terms you are left with -10. Your simplified equation is now
-10x - 24 = -12x -10
Next, you want to get all terms with variables on one side of the equation, and all constants on the other side. Typically, equations are solved by getting the variable on the left hand side, so you will want to move the -12x to the left side. In order to do this, you need to add 12x to both sides so that the -12x is eliminated. (Because the opposite of -12x is +12x) and then combine your like terms.
-10x - 24 = -12x -10
+12 x +12x
2x - 24 = -10
Next you will use the same process to get the constants on the right hand side. So, you will want to add 24 to both sides.
2x - 24 = -10
+24 +24
2x = 14
Finally, divide both sides by the variable's coefficient (the number in front of the letter.)
2x/2 = 14/2
x=7
Your solution is x=7.
To solve the equation: 2x - 4(3x + 6) = -6(2x + 1) - 4
First distribute to remove the parenthesis: 2x - 12x - 24 = -12x - 6 - 4
Now combine like terms on each side: -10x - 24 = -12x - 10
Next get the terms with x together on one
side by adding 12x to each side: 2x - 24 = -10
Now combine the terms with no variable
by adding 24 to each side: 2x = 14
Last, divide by 2 on each side to get x
by itself: x = 7
2x-4(3x+6)=-6(2x+1)-4?
To find the solution of the preceding equation, we will simplify by combining like terms, then solve the resulting equation to find the value of the variable, x.
1. To simplify the equation, all terms must be multiplied throughout the equation so that they can be combined.
2x-12x-24=-12x-6-4
2. Combine like terms.
-10x-24=-12x-10
3. Put the constants on one side of the equation and variables on the other.
-10x-24=-12x-10 ; add 24 to each side and add 12x to each side
2x=14 ; to get the variable x by itself, divide each side by 2.
The solution of our equation is: x=7
Given equation 2x-4(3x+6)=-6(2x+1)-4
2x-12x-24=-12x-6-4
moving all the x terms on one side and other terms on the other side we get
2x-12x+12x=-6-4+24
2x=14
x=7
Your first step to solving is to remove any brackets using the distributive property, multiplying the number through.
2x-4(3x+6)=-6(2x+1)-4?
2x-12x-24 = -12x - 6 - 4
The second step is to combine your like terms on both sides.
-10x - 24 = -12x -10
You need to get both of your variables to the same side using inverse operations. You can choose to add 10x or to add 12x.
-10x - 24 = -12x -10
+12x +12x
2x - 24 = -10
You now have a two step equation to solve. You need to work backwards through the order of operations so first you will add 24 to both sides.
2x - 24 = -10
+24 +24
2x = 14
Your last step is to divide by 2 on both sides.
2x = 14
2 2
x = 7
2x-4(3x+6)=-6(2x+1)-4
as the bracket between two quantities represent multiplication so applying multiplication and add or subtract the terms according to their values like terms containing x separately and numbers separately.
2x-12x-24=-12x-6-4
-10x-24=-12x-10
shifting -12x to LHS and -24 to RHS and changing their respective signs
-10x+12x=24-10
2x=14
x=7
The equation
is solved as follows:
Step 1: Use the distributive property to get rid of the parenthesis. Pay attention to the signs.
2x-4(3x)-4(6)=-6(2x)-6(1)-4
2x-12x-24=-12x-6-4
Step 2: Simplify equation by combining like variables
-10x-24=-12x-10
Step 3: Add and subtract to get all variables on one side of the equation and all numbers on the opposite side.
-10x+12x=-10+24
Step 4: Simplify
2x=14
Step 5: Divide to solve for x
The solution is x=7
2x-4(3x+6)=-6(2x+1)-4
Remove bracket by multiplying;
2x-4xx3x-24 = -6xx2x-6-4
2x-12x-24 = -12x-6-4
-10x-24 = -12x-10
Take all x parts to one side, and put the numbers on the other side. Make sure you use the correct signs.
-10x+12x = -10+24
2x = 14
x = 7
The answer is x = 7.
https://simple.wikipedia.org/wiki/System_of_linear_equations
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