Solve the following linear equation for X. Then 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 by 6:
x = 4

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

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

Therefore, x = 4 is the correct solution.