Chapter 6, Problem 11PSQ

To determine

To solve : the equation $-\frac{3}{8}x-5=7$

Answer to Problem 11PSQ

The solution of equation $-\frac{3}{8}x-5=7$ is $x=-32$ .

Explanation of Solution

Given information :

Consider, the equation,

  $-\frac{3}{8}x-5=7$

Calculation :

Therefore,

The value of expression is:

  $\begin{array}{l}-\frac{3}{8}x-5=7\\ -\frac{3}{8}x=7+5\left[\text{group like terms}\right]\\ -\frac{3}{8}x=12\left[\text{add}\right]\\ -3x=96\left[\text{multiply both side with 8}\right]\\ x=-32\left[\text{divide both side with }-3\right]\\ \end{array}$

Hence, the value of expression $-\frac{3}{8}x-5=7$ is $x=-32$ .