if 5x - 17 = -x + 7, then x =

5x - 17 = -x + 7

Add 17 to both sides

5x - 17 + 17 = -x + 7 + 17

5x = -x + 24

Add x to both sides

5x + x = -x + 24 + x

6x = 24

Divide 6 on both sides

x = 4

x equals 4

Hope this helps ;P

\(\begin{array}{rcll} 5x - 17 &=& -x+7&|\quad\text{Add x to both sides}\\ 6x-17&=&7&|\quad\text{Add 17 to both sides}\\ 6x&=&24&|\quad\text{Divide both sides by 6}\\ x&=&4&|\quad\color{red}\text{FINISH!} \end{array}\)