Respuesta :

Space

Answer:

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

  • Distributive

Step-by-step explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

  1. Distribute 5:                              5x - 30 + 2 = 7x - 8
  2. Subtract 5x on both sides:       -30 + 2 = 2x - 8
  3. Add:                                           -28 = 2x - 8
  4. Add 8 on both sides:                -20 = 2x
  5. Divide 2 on both sides:             -10 = x
  6. Rewrite:                                      x = -10

Step 3: Check

Plug in x to verify it's a solution.

  1. Substitute:                         5(-10 - 6) + 2 = 7(-10) - 8
  2. Subtract:                            5(-16) + 2 = 7(-10) - 8
  3. Multiply:                             -80 + 2 = -70 - 8
  4. Add/Subtract:                    -78 = -78
5(x-6)=7x-8-2
5(x-6)=7x-10
5x-6*5=7x-10
5x-30=7x-10
5x-7x=-10+30
-2x=20
x=20/-2
x=-10

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