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attashe74 [19]
3 years ago
7

Maths question. Solve 4(x - 1) = 2(6 - 2x)

Mathematics
2 answers:
aleksley [76]3 years ago
8 0
Use distributive property
4x - 4 = 12 - 4x
8x = 16
X = 2
ladessa [460]3 years ago
5 0

Answer:

x = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

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

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

  1. Distribute:                              4x - 4 = 12 - 4x
  2. Add 4x on both sides:          8x - 4 = 12
  3. Add 4 to both sides:             8x = 16
  4. Divide 8 on both sides:        x = 2

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4(2 - 1) = 2(6 - 2(2))
  2. Multiply:                               4(2 - 1) = 2(6 - 4)
  3. Subtract:                              4(1) = 2(2)
  4. Multiply:                               4 = 4

Here we see that 4 does indeed equal 4.

∴ x = 2 is a solution of the equation.

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