Question

Solve 48 = 5(2x - 7) + 3.
Justify each step.

Answer 1

x=8

Explanation:

48=5(2x-7)+3

Use the distributive property

48=10x-35+3

Combine like terms

48=10x-32

Add 32 to both sides to cancel out the negative 32

80=10x

x=8

Answer 2

x = 8

Explanation:

Step 1: Write equation

48 = 5(2x - 7) + 3

Step 2: Solve for x

1. Distribute 5: 48 = 10x - 35 + 3
2. Combine like terms: 48 = 10x - 32
3. Add 32 to both sides: 80 = 10x
4. Divide both sides by 10: 8 = x
5. Rewrite: x = 8

Step 3: Check

Plug in x to verify it's a solution.

48 = 5(2(8) - 7) + 3

48 = 5(16 - 7) + 3

48 = 5(9) + 3

48 = 45 + 3

48 = 48