Answer:
x = 10
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
Explanation:
Step 1: Define
Identify
14x - (-5x + 6 - 3x - 4) = 4(5x) + 10
Step 2: Solve for x
- [Distributive Property] Distribute negative: 14x + 5x - 6 + 3x - 4 = 4(5x) + 10
- Combine like terms: 22x - 10 = 4(5x) + 10
- Multiply: 22x - 10 = 20x + 10
- [Subtraction Property of Equality] Subtract 20x on both sides: 2x - 10 = 10
- [Addition Property of Equality] Add 10 on both sides: 2x = 20
- [Division Property of Equality] Divide 2 on both sides: x = 10