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

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


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

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

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

Reorder the terms:
-12 + 3x = -4 + 2 + 2x + -1x

Combine like terms: -4 + 2 = -2
-12 + 3x = -2 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-12 + 3x = -2 + 1x

Solving
-12 + 3x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 3x + -1x = -2 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-12 + 2x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-12 + 2x = -2 + 0
-12 + 2x = -2

Add '12' to each side of the equation.
-12 + 12 + 2x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -2 + 12
2x = -2 + 12

Combine like terms: -2 + 12 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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