Respuesta :

Izzy1974

Answer:

Step-by-step explanation:

2(2x-1)=6(x+2)  PEDMAS

4x-2=6x+12  subtract 4x from both sides

-2=2x+12  subtract 12

-14=2x  divide by 2

x=  -7

Space

Answer:

x = -7

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define equation

2(2x - 1) = 6(x + 2)

Step 2: Solve for x

  1. Distribute:                                     4x - 2 = 6x + 12
  2. Subtract 4x on both sides:          -2 = 2x + 12
  3. Subtract 12 on both sides:           -14 = 2x
  4. Divide 2 on both sides:                -7 = x
  5. Rewrite:                                         x = -7

Step 3: Check

Plug in x to verify it's a solution.

  1. Substitute:                    2(2(-7) - 1) = 6(-7 + 2)
  2. Multiply:                        2(-14 - 1) = 6(-7 + 2)
  3. Subtract/Add:               2(-15) = 6(-5)
  4. Multiply:                        -30 = -30

Here we see that -30 does indeed equal -30.

∴ x = -7 is a solution of the equation.

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