Question

I need help 2(4+2x)≥5x+5

Answer 1

Answer:

x ≤ 3

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

2(4 + 2x) ≥ 5x + 5

Step 2: Solve for x

1. [Distributive Property] Distribute 2:                                                                 8 + 4x ≥ 5x + 5
2. [Subtraction Property of Equality] Subtract 5x on both sides:                       8 - x ≥ 5
3. [Subtraction Property of Equality] Subtract 8 on both sides:                        -x ≥ -3
4. [Division Property of Equality] Divide -1 on both sides:                                 x ≤ 3