Beginning Algebra With Applications, Chapter 3, 3.1, Section 3.1, Problem 80

Solve the equation $-0.813 + x = -1.096$ and check
if your answer is correct.

$
\begin{equation}
\begin{aligned}
-0.813 + x + 0.813 &= -1.096 + 0.813 && \text{Add $0.813$ from each side} \\
\\
x &= -0.283
\end{aligned}
\end{equation}
$

By checking,

$
\begin{equation}
\begin{aligned}
-0.813 + ( - 0.283 ) &= -1.096 && \text{Replace the variable by the given number, } -0.283\\
\\
-0.813 - 0.283 &= -1.096 && \text{Use the assigned variable to write the variable expression}\\
\\
-1.096 &= -1.096 && \text{Compare the results}
\end{aligned}
\end{equation}
$


The results are same; Therefore, $-0.283$ is a solution of the equation $-0.813 + x = -1.096$