Question

What is the solution set of the equation
x + 6 = 2(x + 3) - x?

Answer 1

x = all real numbers

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

x + 6 = 2(x + 3) - x

Step 2: Solve for x

1. [Addition Property of Equality] Add x on both sides: 2x + 6 = 2(x + 3)
2. [Distributive Property] Distribute 2: 2x + 6 = 2x + 6

Here we see that both sides are identical.

∴ our solution is all real numbers.