Solve the linear equation.
7x+10=1/3(12x−3)+14x
x =?
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1
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
- Equality Properties
Step-by-step explanation:
Step 1: Define
7x + 10 = 1/3(12x - 3) + 14x
Step 2: Solve for x
- Distribute 1/3: 7x + 10 = 4x - 1 + 14x
- Combine like terms: 7x + 10 = 18x - 1
- Subtract 7x on both sides: 0 = 11x - 1
- Add 1 on both sides: 11 = 11x
- Divide 11 on both sides: 1 = x
- Rewrite: x = 1
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