Question

5x − 8( 1 + 7x ) = −8

Answer 1

x = 0

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

5x - 8(1 + 7x) = -8

Step 2: Solve for x

1. Distribute -8: 5x - 8 - 56x = -8
2. Combine like terms: -51x - 8 = -8
3. Isolate x term: -51x = 0
4. Isolate x: x = 0

Step 3: Check

Plug in x into the original equation to verify it is a solution.

1. Substitute in x: 5(0) - 8(1 + 7(0)) = -8
2. Multiply: 0 - 8(1 + 0) = -8
3. Add: -8(1) = -8
4. Multiply: -8 = -8

Here we see that -8 does indeed equal -8.

∴ x = 0 is a solution of the equation.