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} -(6x)/(-6)=(18)/(-6) \\ \\ x=-3 \end{gathered}`

The final answer

`x=-3`