Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points) Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points)

Distributive Property
Subtraction Property of Equality
Combine Like Terms
Multiplication Property of Equality
Division Property of Equality
Given
Addition Property of EqualitySolve the equation 5(x + 2) = 6x + 3x − 14, and show your work

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

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