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4. What is the solution to the equation

-3.5(x + 12) = -2x + 18?
A. X = -40
C. X=4
B. X=-4
D. X= 40

4. What is the solution to the equation -3.5(x + 12) = -2x + 18? A. X = -40 C. X=4 B-example-1

1 Answer

8 votes

Answer:

A. x = -40

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

-3.5(x + 12) = -2x + 18

Step 2: Solve for x

  1. Distribute -3.5: -3.5x - 42 = -2x + 18
  2. Add 3.5x on both sides: -42 = 1.5x + 18
  3. Subtract 18 on both sides: -60 = 1.5x
  4. Divide 1.5 on both sides: -40 = x
  5. Rewrite: x = -40
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