Question

Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Answer 1

Answer:

x = 6

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  

Distributive Property

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

Identify

5(x + 2) = 6x + 3x - 14

Step 2: Solve for x

1. [Addition] Combine like terms:                                                                        5(x + 2) = 9x - 14
2. [Distributive Property] Distribute 5:                                                                 5x + 10 = 9x - 14
3. [Subtraction Property of Equality] Subtract 9x on both sides:                      -4x + 10 = -14
4. [Subtraction Property of Equality] Subtract 10 on both sides:                       -4x = -24
5. [Division Property of Equality] Divide -4 on both sides:                                x = 6