Question

Solve: 3(4-2x)=-x+1

Answer 1

x=0.4545454

Explanation:

3(4-2x)=-x+1

12-6x=-x+1

12-1=-x+6x

11=5x

0.4545454=x

Answer 2

x = 11/5

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

3(4 - 2x) = -x + 1

Step 2: Solve for x

1. [Distributive Property] Distribute 3: 12 - 6x = -x + 1
2. [Addition Property of Equality] Add x on both sides: 12 - 5x = 1
3. [Subtraction Property of Equality] Subtract 12 on both sides: -5x = -11
4. [Division Property of Equality] Divide -5 on both sides: x = 11/5