Question

If AC = 48, write and solve an equation for x

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Answer 1

x = 10

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

AB and BC must add up to AC

mAB + mBC = mAC

(2x - 4) + (3x + 2) = 48

Step 2: Solve for x

1. Combine like terms: 5x - 2 = 48
2. Add 2 on both sides: 5x = 50
3. Divide 5 on both sides: x = 10