Given the equation :
[tex]\frac{-5x+2}{7}=-4[/tex]so, using the multiplication property
[tex]\begin{gathered} -5x+2=-4\cdot7 \\ -5x+2=-28 \end{gathered}[/tex]Subtract 2 from both sides
[tex]\begin{gathered} -5x+2-2=-28-2 \\ -5x=-30 \end{gathered}[/tex]Divide both sides by -5
[tex]\begin{gathered} \frac{-5x}{-5}=\frac{-30}{-5} \\ \\ x=6 \end{gathered}[/tex]