11x+8=8x+17

11x+8=8x+17

Take away 8x from both sides

11x+8-8x=8x+17-8x

3x+8=17

Shift 8 to the other side of the equation thus making it negative

3x=17-8
17-8 =9 so:

3x=9

Divide by 3 on both sides of the equation

3x/3=9/3

Which means:
x=3