Chapter 11.4, Problem 20E

To determine

To solve:the equation $10-3x=-x-8$

Answer to Problem 20E

The solution of equation of $10-3x=-x-8$ is $x=9$ .

Explanation of Solution

Given information:

Consider, the equation is,

  $10-3x=-x-8$

Calculation:

Therefore,

The value of equation is:

  $\begin{array}{l}10-3x=-x-8\\ 10+8=-x+3x\left[\text{group like terms}\right]\\ 18=2x\left[\text{add}\right]\\ x=\frac{18}{2}\left[\text{cross product}\right]\\ x=9\left[\text{divide}\right]\end{array}$

Hence, the solution of equation of $10-3x=-x-8$ is $x=9$ .