Question

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

5x+8+x=32

Answer 1

Solve: 5x + 8 + x = 32

1. Combine like terms (5x + x = 6x):
6x + 8 = 32

2. Subtract 8 from both sides (by the subtraction property of equality):
6x = 32 − 8
6x = 24

3. Divide both sides by 6 (by the division property of equality):
x = 24 ÷ 6
x = 4

Check: substitute x = 4 into the original equation:
5(4) + 8 + 4 = 20 + 8 + 4 = 32

Since the left side equals the right side (32), x = 4 is correct.