Solve the following linear equation for x and check your answer show all your steps for solving and checking 5x + 8 + x = 32

5x + 8 + x = 32

Combine like terms:
6x + 8 = 32

Subtract 8 from both sides:
6x = 24

Divide both sides by 6:
x = 4

To check the answer, substitute x = 4 back into the original equation:

5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32

Thus, the solution x = 4 is correct.