Question

4(1)+12(x+3)-6(x-5)=4(12)+4(x)​

Answer 1

x = -11

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

4(1) + 12(x + 3) - 6(x - 5) = 4(12) + 4(x)

Step 2: Solve for x

1. Simplify: 4 + 12(x + 3) - 6(x - 5) = 48 + 4x
2. [Distributive Property] Distribute parenthesis: 4 + 12x + 36 - 6x + 30 = 48 + 4x
3. Combine like terms: 6x + 70 = 48 + 4x
4. [Subtraction Property of Equality] Subtract 4x on both sides: 2x + 70 = 48
5. [Subtraction Property of Equality] Subtract 70 on both sides: 2x = -22
6. [Division Property of Equality] Divide 2 on both sides: x = -11