Question

use a combination of inverse operations to solve the following equations.4x - 5 + 2(x - 3) = 12x + 7

Answer 1

Given

$4x-5+2(x-3)=12x+7$

Solution

Step 1

Expand

$\begin{gathered} 4x-5+2x-6=12x+7 \\ \end{gathered}$

step 2

separate the similar terms

$4x+2x-12x=7+5+6$

Step 3

Simplify

$\begin{gathered} 6x-12x=18 \\ -6x=18 \\ \end{gathered}$

Step 4

Divide both sides by -6

$\begin{gathered} -\frac{6x}{-6}=\frac{18}{-6} \\ \\ x=-3 \end{gathered}$

The final answer

$x=-3$