Question

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

Answer 1

Answer:

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

Step-by-step 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.