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Answer:

x = 54

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

Algebra I

  • Equality Properties

Step-by-step explanation:

Step 1: Define

-12(x + 4) + 14x = 60

Step 2: Solve for x

  1. Distribute -12:                              -12x - 48 + 14x = 60
  2. Combine like terms:                   2x - 48 = 60
  3. Add 48 to both sides:                 2x = 108
  4. Divide 2 on both sides:              x = 54
rebeccarayshma

Answer:

x = 54

Step-by-step explanation:

-12(x + 4) + 14x = 60

i) distribute -12 to the whole parentheses of (x+4)

(-12 × x) + (-12 × 4) + 14x = 60

-12x - 48 + 14x = 60

ii) collect like terms

-12x + 14x - 48 = 60

2x - 48 = 60

iii) move constant to the right-hand side and change its sign

2x = 60 + 48

iv) add the numbers

2x = 108

v) divide both sides of the equation by 2

[tex] \frac{2x}{2} = \frac{108}{2} [/tex]

x = 54

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