Question

Solve the 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 (subtraction property of equality):
6x = 32 − 8
6x = 24

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

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

Since both sides equal 32, the solution x = 4 is correct.