Question

Solve 4(8-2x)=2(7-x)​

Answer 1

x = 3

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(8 - 2x) = 2(7 - x)

Step 2: Solve for x

1. [Division Property of Equality] Divide 2 on both sides: 2(8 - 2x) = 7 - x
2. [Distributive Property] Distribute 2: 16 - 4x = 7 - x
3. [Addition Property of Equality] Add x on both sides: 16 - 3x = 7
4. [Subtraction Property of Equality] Subtract 16 on both sides: -3x = -9
5. [Division Property of Equality] Divide -3 on both sides: x = 3

Answer 2

Answer and Step-by-step explanation:

Solve for x.

First, we divide both sides of the equation by 2.

2(8 - 2x) = 7 - x

Distribute the 2.

16 - 4x = 7 - x

Add 4x to and subtract 7 from both sides of the equation.

9 = 3x

Divide by 3 to both sides of the equation.

x = 3 <-- This is the answer.

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