Chapter 2.4, Problem 1STP

For Exercises $1-5,$ choose the correct letter.

What is the solution of $-8x-5+3x=7+4x-9?$

A. -3

B. $-\frac{1}{3}$

C. $\frac{1}{3}$

D. 3

To determine

To find:  solution of given equation

Answer to Problem 1STP

Option B is correct.

Explanation of Solution

Given information:  equation $-8x-5+3x=7+4x-9$

  Adding the same variable and constant,

  $\Rightarrow -5x-5=4x-2$

Add 5 on both sides,

  $\begin{array}{l}\Rightarrow -5x-5+5=4x-2+5\\ \Rightarrow -5x=4x+3\end{array}$

Subtract $4x$ on both sides,

  $\begin{array}{l}\Rightarrow -5x-4x=4x+3-4x\\ \Rightarrow -9x=3\end{array}$

Divide by $-9$ on both sides,

  $\begin{array}{l}\Rightarrow \frac{-9x}{-9}=\frac{3}{-9}\\ \Rightarrow x=-\frac{1}{3}\end{array}$