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 $-0.813 + x = -1.096$