Question

6 (2x+7) = 5 x - 11 - x

Answer 1

x = -53/8

Explanation:

6(2x + 7) = 5x - 11 - x

12x + 42 = 5x -11 - x (Distributive property)

12x + 42 = 4x - 11 (Subtraction property)

8x + 42 = -11 (Subtraction Property)

8x = -53 (Subtraction Property)

x = -53/8

Answer 2

x = -53/8

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

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

6(2x + 7) = 5x - 11 - x

Step 2: Solve for x

1. Combine like terms: 6(2x + 7) = 4x - 11
2. Distribute 6: 12x + 42 = 4x - 11
3. [Subtraction Property of Equality] Subtract 4x on both sides: 8x + 42 = -11
4. [Subtraction Property of Equality] Subtract 42 on both sides: 8x = -53
5. [Division Property of Equality] Divide 8 on both sides: x = -53/8