Question

X + (3x - 4) = 5 - (-7 - 3x)

Answer 1

x = 16

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

Explanation:

Step 1: Define

Identify

x + (3x - 4) = 5 - (-7 - 3x)

Step 2: Solve for x

1. [Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x
2. [Addition] Combine like terms: 4x - 4 = 12 + 3x
3. [Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12
4. [Addition Property of Equality] Add 4 on both sides: x = 16