Respuesta :

Space

Answer:

x = 4

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

Step-by-step explanation:

Step 1: Define Equation

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

Step 2: Solve for x

  1. Divide -4 on both sides:                    -(x + 2) = 2 - 2x
  2. Distribute negative:                           -x - 2 = 2 - 2x
  3. Add 2x on both sides:                       x - 2 = 2
  4. Add 2 on both sides:                         x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

  1. Substitute in x:                    -4(4 + 2) = 4(2 - 2(4))
  2. Multiply:                               -4(4 + 2) = 4(2 - 8)
  3. Add/Subtract:                      -4(6) = 4(-6)
  4. Multiply:                               -24 = -24

Here we see that -24 does equal -24.

∴ x = 4 is the solution to the equation.

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