Question

Given (-5x+2)/7 = -4 Prove x = 6

Answer 1

Given the equation :

`(-5x+2)/(7)=-4`

so, using the multiplication property

`\begin{gathered} -5x+2=-4\cdot7 \\ -5x+2=-28 \end{gathered}`

Subtract 2 from both sides

`\begin{gathered} -5x+2-2=-28-2 \\ -5x=-30 \end{gathered}`

Divide both sides by -5

`\begin{gathered} (-5x)/(-5)=(-30)/(-5) \\ \\ x=6 \end{gathered}`