Question

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

Answer 1

Answer:

x = -53/8

Step-by-step 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

Answer:

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

Step-by-step 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