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 = \(\left [ 4\right ]\)