What is the solution set of the equation
x + 6 = 2(x + 3) - x?
1 answer:
Answer:
<em>x</em> = all real numbers
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
x + 6 = 2(x + 3) - x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add <em>x</em> on both sides: 2x + 6 = 2(x + 3)
- [Distributive Property] Distribute 2: 2x + 6 = 2x + 6
Here we see that both sides are identical.
∴ our solution is all real numbers.
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