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

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Solution for 2-3(2x-4)=6-(x+2) equation:


Simplifying
2 + -3(2x + -4) = 6 + -1(x + 2)

Reorder the terms:
2 + -3(-4 + 2x) = 6 + -1(x + 2)
2 + (-4 * -3 + 2x * -3) = 6 + -1(x + 2)
2 + (12 + -6x) = 6 + -1(x + 2)

Combine like terms: 2 + 12 = 14
14 + -6x = 6 + -1(x + 2)

Reorder the terms:
14 + -6x = 6 + -1(2 + x)
14 + -6x = 6 + (2 * -1 + x * -1)
14 + -6x = 6 + (-2 + -1x)

Combine like terms: 6 + -2 = 4
14 + -6x = 4 + -1x

Solving
14 + -6x = 4 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
14 + -6x + x = 4 + -1x + x

Combine like terms: -6x + x = -5x
14 + -5x = 4 + -1x + x

Combine like terms: -1x + x = 0
14 + -5x = 4 + 0
14 + -5x = 4

Add '-14' to each side of the equation.
14 + -14 + -5x = 4 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 4 + -14
-5x = 4 + -14

Combine like terms: 4 + -14 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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