Question

Solve the linear equation.



7x+10=1/3(12x−3)+14x



x =

Answer 1

x=1

Explanation:

7x + 10 = 18x - 1

10 = 11x - 1

11 = 11x

1 = x

Use the distributive property to multiply

Answer 2

x = 1

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

Explanation:

Step 1: Define

7x + 10 = 1/3(12x - 3) + 14x

Step 2: Solve for x

1. Distribute 1/3: 7x + 10 = 4x - 1 + 14x
2. Combine like terms: 7x + 10 = 18x - 1
3. Subtract 7x on both sides: 10 = 11x - 1
4. Add 1 on both sides: 11 = 11x
5. Divide 11 on both sides: 1 = x
6. Rewrite: x = 1