[tex]\begin{gathered} 4x=12x+32 \\ \text{subtract 12x from both sides} \\ We\text{ subtract 12x from both sides to cancel x on the right hand side and } \\ \text{make x stand alone on the left hand side} \\ 4x-12x=12x-12x+32 \\ -8x=32 \\ \text{divide both sides by -8} \\ \text{This is done to make x the subject of the formula} \\ \frac{-8x}{-8}=\frac{32}{-8} \\ x=-4 \end{gathered}[/tex]