How do you answer 5x+8=2x+3

Solving for x

5x - 8 = 2x + 7

subtract 2x from both sides

5x - 2x - 8 = 2x - 2x + 7

3x - 8 = 7

add 8 to both sides

3x - 8 + 8 = 7 + 8

3x = 15

divide both sides by 3

3x/3 = 15/3

x = 5

Check answer by replacing x with 5 in the orginal equation

5x - 8 = 2x + 7

5 (5) - 8 = 2 (5) + 7

25 - 8 = 10 + 7

17 = 17

X = - 5/3 (negative five thirds)