Respuesta :

Space

Answer:

x = -1

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x - (x + 4) + 1 = 3 - 2(x + 6)

Step 2: Solve for x

  1. Distribute:                          5x - x - 4 + 1 = 3 - 2x - 12
  2. Combine like terms:          4x - 3 = -2x - 9
  3. Add 2x on both sides:      6x - 3 = -9
  4. Add 3 to both sides:         6x = -6
  5. Divide both sides by 6:     x = -1

Step 3: Check

Plug in x to verify it's a solution.

  1. Substitute:                    5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)
  2. Parenthesis (Add):        5(-1) - 3 + 1 = 3 - 2(5)
  3. Multiply:                        -5 - 3 + 1 = 3 - 10
  4. Subtract:                       -8 + 1 = -7
  5. Add:                              -7 = -7

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