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djverab [1.8K]
3 years ago
9

What is the solution to the equation –3.5(x + 12) = –2x + 18?

Mathematics
2 answers:
Andrei [34K]3 years ago
7 0

Answer:

x = -4.36364

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

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

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 3.5:                    3.5x + 42 = -2x + 18
  2. Add 2x on both sides:       5.5x + 42 = 18
  3. Isolate <em>x</em> term:                    5.5x = -24
  4. Isolate <em>x</em>:                             x = -4.36364
Ratling [72]3 years ago
4 0

Answer:

The answer I arrived at was x = -4.364

Step-by-step explanation:

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

=> multiply 3.5 by everything in parenthesis

3.5x + 42 = -2x + 18

=> subtract 18 from both sides

3.5x + 24 = -2x

=> subtract 3.5x from both sides

24 = -5.5x

=> divide both sides by -5.5

-4.364 = x

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