Respuesta :

Space

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Algebra I

  • Equality Properties

Step-by-step explanation:

Step 1: Define equation

4(x + 4) = 6(x - 2)

Step 2: Solve for x

  1. Distribute:                                   4x + 16 = 6x - 12
  2. Subtract 4x on both sides:         16 = 2x - 12
  3. Add 12 on both sides:                28 = 2x
  4. Divide 2 on both sides:              14 = x
  5. Rewrite:                                       x = 14

Step 3: Check

Plug in x to verify it's a solution.

  1. Substitute:                    4(14 + 4) = 6(14 - 2)
  2. Add/Subtract:               4(18) = 6(12)
  3. Multiply:                        72 = 72

And we have our final answer!

TheBlueFox

Answer: 14 = x

Step-by-step explanation: Start by distributing through the parenthses

on each side of the equation to get 4x + 16 = 6x - 12.

Now move your x's to the right and numbers

to the left and you get 28 = 2x.

Divide both sides by 2 and 14 = x.

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