Question

What is the solution to this equation?

6(x – 5) = 4x + 20

Answer 1

x = 25

Explanation:

The first step would be to distribute the 6 to x and -5. That gives us 6x - 30. Then you would subtract the 4x from both sides to get 2x - 30 = 20. You can now add the 30 to both sides leaving us with 2x = 50. Divide both sides by 2 to isolate the x. You have your final answer of x = 25 now. You can always put 25 back in the equation to check by substituting out x.

Answer 2

x = 25

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

6(x - 5) = 4x + 20

Step 2: Solve for x

1. [Distributive Property] Distribute 6: 6x - 30 = 4x + 20
2. [Subtraction Property of Equality] Subtract 4x on both sides: 2x - 30 = 20
3. [Addition Property of Equality] Add 30 on both sides: 2x = 50
4. [Division Property of Equality] Divide 2 on both sides: x = 25