Question

-1/2(6x-10)=1/3(6x+9)

Answer 1

x = 2/5

General Formulas and Concepts:

Pre-Algebra

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

Identify

-1/2(6x - 10) = 1/3(6x + 9)

Step 2: Solve for x

1. [Distributive Property] Distribute parenthesis: -3x + 5 = 2x + 3
2. [Subtraction Property of Equality] Subtract 2x on both sides: -5x + 5 = 3
3. [Subtraction Property of Equality] Subtract 5 on both sides: -5x = -2
4. [Division Property of Equality] Divide -5 on both sides: x = 2/5