2x/3 - 4 = 2 Solve

To solve this equation means that we must find out what the value of "x" is. To do this, our task is to isolate "x," or, in other words, get "x" alone on one side of the equation and everything else on the other side of the equation. We know when we've solved the problem when we are left with "x=#(some number)."
The rule to keep in mind is this: if we are adding on one side of the equation, we can subtract that number on the other; and, if we are multiplying on one side of the equation, we can divide by that number on the other side of the equation.
On the left side of the equation, the following operations are in use:
-4 (subtracting 4)
/3 (dividing by 3)
2x (multiplying by 2)
This means we can do the following (opposite operations) on the right side:
+4 (add 4)
*3 (multiply by 3)
/2 (divide by 2)
We can begin by adding 4 to the right side of the equation.

2x/3 = 2 + 4

Now, we can simplify the right side of the equation, because we can add 2 + 4 and get 6.

2x/3 = 6



Next, we can multiply by 3 on the right side of the equation.

2x = 6(3)

And, we can simplify the right side again.

2x = 18


Finally, because 2x means that 2 is multiplied by x, we can divide by 2 on the right side of the equation.

x=18/2

And, for the last time, we can simplify the right side of the equation.

x = 9


To ensure that we have solved this equation correctly, we can write a proof. This means that we begin with the original equation and substitute our answer ("1") for "x" to see if the two sides of the equation are equal.

2x/3 - 4 = 2
2*9/3 - 4 = 2
2 * 9/3 = 6
9/3 = 6/2
3 = 3






We have solved for "x" correctly. x=9. We know this because both sides of the equation (left and right) are equal (3=3) in our proof.