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



If AC = 48, write and solve an equation for x ​-example-1

1 Answer

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Answer:

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
User Ravi Khambhati
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