Question

Yuto solved the equation below.

Negative 2 (x + 5) = negative 2 (x minus 2) + 5

What is the solution to Yuto’s equation?

Answer 1

no solution

Explanation:

:)

Answer 2

x = no 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

Explanation:

Step 1: Define

-2(x + 5) = -2(x - 2) + 5

Step 2: Solve for x

1. Distribute -2: -2x - 10 = -2x + 4 + 5
2. Add: -2x - 10 = -2x + 9
3. Add 2x on both sides: -10 ≠ 9

Here we see that -10 does not equal 9.

∴ x = no solutions.