Question

What is the answer to 5x-3=3(2x-1)-x

Answer 1

x = infinite amount of solutions

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

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

5x - 3 = 3(2x - 1) - x

Step 2: Solve for x

1. Distribute 3: 5x - 3 = 6x - 3 - x
2. Combine like terms: 5x - 3 = 5x - 3
3. Add 3 to both sides: 5x = 5x
4. Divide 5 on both sides: x = x

Here we see that x does indeed equal x.

∴ x = infinite amount of solutions.