Question

Find the value of x

X=3x+1+2(x+5)

Answer 1

Explanation:

x=3x+1+2(x+5)

x=3x+1+2x+10

x=5x+11

-11=5x-x

-11=4x

-11/4=x

Answer 2

x = -11/4

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 = 3x + 1 + 2(x + 5)

Step 2: Solve for x

1. [Distributive Property] Distribute 2: x = 3x + 1 + 2x + 10
2. [Addition] Combine like terms: x = 5x + 11
3. [Subtraction Property of Equality] Subtract 5x on both sides: -4x = 11
4. [Division Property of Equality] Divide -4 on both sides: x = -11/4