Question

Solve for X: X+8=3(x-7)-5

Answer 1

17

Explanation:

X+8=3(x-7)-5

x+8=3x-21-5

x+8=3x-26

8=2x-26

34=2x

Answer 2

x = 17

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

x + 8 = 3(x - 7) - 5

Step 2: Solve for x

1. Distribute 3: x + 8 = 3x - 21 - 5
2. Combine like terms: x + 8 = 3x - 26
3. [Subtraction Property of Equality] Subtract x on both sides: 8 = 2x - 26
4. [Addition Property of Equality] Add 26 on both sides: 34 = 2x
5. [Division Property of Equality] Divide 2 on both sides: 17 = x
6. Rewrite/Rearrange: x = 17