Question

-1/8 (x - 24) + 1/2 (x + 4) = x + 15

Answer 1

x = -16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Distributive Property

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

-1/8(x - 24) + 1/2(x + 4) = x + 15

Step 2: Solve for x

1. [Distributive Property] Distribute: -1/8x + 3 + 1/2x + 2 = x + 15
2. Combine like terms [Add]: 3/8x + 5 = x + 15
3. [Subtraction Property of Equality] Subtract x on both sides: -5/8x + 5 = 15
4. [Subtraction Property of Equality] Subtract 5 on both sides: -5/8x = 10
5. [Division Property of Equality] Divide -5/8 on both sides: x = -16