Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking.

To solve for x, we first combine like terms on the left side of the equation:

5x + 8 + x = 32
6x + 8 = 32

Next, we isolate the variable x by subtracting 8 from both sides of the equation:

6x + 8 - 8 = 32 - 8
6x = 24

To find the value of x, we divide by 6:

x = 24/6
x = 4

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

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

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