See Problem

Step by step:

$5x - 17 = -x + 7$, then add x to both sides:

$6x-17=7$, add 17 to both sides:

$6x=24$, divide both sides by 6:

$x=\boxed{4}$

add x to both sides and add 17 to both sides you get 6x=24 so x=4

5x - 17 = -x + 7

separate numbers and variables...or add  x  to both sides

5x + x = 7 + 17

6x = 24

divide both sides by 6

x = 24/6

x = $\left [ 4\right ]$