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 both sides 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
Since both sides are equal, the solution x = 4 is correct.