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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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Hey there!

Let's first define our goal. Our goal here is to be able to isolate the variable, n, and solve for it by moving everything to the other side. We see that we have two sides of the equation, and by using the property of equality which states that whatever you do to one side you do to the other and the expression remains equal, we can solve this equation.

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