Chapter 11, Problem 47CRP

Explanation of Solution

Draw a diagram to represent the process to simplify the algebraic expression $7x+3=3x-5$ to the expression $x=-2$:

The following steps to simplify the algebraic expression $7x+3=3x-5$ to the expression $x=-2$ is shown below,

• To simplify the given expression, subtract 3 from both the sides of the expression $7x+3=3x-5$ to obtain the numbers in the expression to the right hand side.

$\begin{array}{c}7x+3-3=3x-5-3\\ 7x=3x-8\end{array}$

• Further simplify the above result, subtract $3x$ from both sides of the expression $7x=3x-8$ to obtain the variable in the left hand side