Question

Use a combination of inverse operations to solve the following equations.4(x - 5) = -3(x - 5)

Answer 1

Given

`4(x-5)=-3(x-5)`

First expand

`\begin{gathered} 4x-20=-3x+15 \\ \end{gathered}`

Collect the like terms

`\begin{gathered} 4x+3x=15+20 \\ 7x=35 \end{gathered}`

Divide both sides by 7

`\begin{gathered} (7x)/(7)=(35)/(7) \\ x=5 \end{gathered}`

The final answer

`x=5`