Question

Solve-

1/3(5n-1)=2(1-n)+1/5n

thanks! :)

Answer 1

n = 35/52

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

1/3(5n - 1) = 2(1 - n) + 1/5n

Step 2: Solve for n

1. Distribute: 5/3n - 1/3 = 2 - 2n + 1/5n
2. Combine like terms: 5/3n - 1/3 = 2 - 9/5n
3. [Addition Property of Equality] Add 9/5n to both sides: 52/15n - 1/3 = 2
4. [Addition Property of Equality] Add 1/3 on both sides: 52/15n = 7/3
5. [Division Property of Equality] Divide 52/15 on both sides: n = 35/52