Question

1/2(x-106)=12+7x
solve for x

Answer 1

x = -10

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

1/2(x - 106) = 12 + 7x

Step 2: Solve for x

1. [Multiplication Property of Equality] Multiply 2 on both sides: x - 106 = 2(12 + 7x)
2. [Distributive Property] Distribute 2: x - 106 = 24 + 14x
3. [Subtraction Property of Equality] Subtract x on both sides: -106 = 24 + 13x
4. [Subtraction Property of Equality] Subtract 24 on both sides: -130 = 13x
5. [Division Property of Equality] Divide 13 on both sides: -10 = x
6. Rewrite: x = -10