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goldenfox [79]
3 years ago
7

What is the solution 8x-3(2x-4)=3(x-6)

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
7 0
16x^2 - 32x -3x +12 = 3x-18
X= 30
yanalaym [24]3 years ago
5 0

Answer:

x = 30

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

8x - 3(2x - 4) = 3(x - 6)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   8x - 6x + 12 = 3x - 18
  2. Combine like terms:                   2x + 12 = 3x - 18
  3. Subtract 2x on both sides:        12 = x - 18
  4. Add 18 to both sides:                 30 = x
  5. Rewrite:                                       x = 30

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    8(30) - 3(2(30) - 4) = 3(30 - 6)
  2. Multiply:                        240 - 3(60 - 4) = 3(30 - 6)
  3. Subtract:                       240 - 3(56) = 3(24)
  4. Multiply:                        240 - 168 = 72
  5. Subtract:                       72 = 72
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