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3 years ago

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

Mathematics

1 answer:

grandymaker [24]3 years ago

3 0

Answer:

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

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