12-3(2x-2)=x-(2-3x)

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Solution for 12-3(2x-2)=x-(2-3x) equation:


Simplifying
12 + -3(2x + -2) = x + -1(2 + -3x)

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

Combine like terms: 12 + 6 = 18
18 + -6x = x + -1(2 + -3x)
18 + -6x = x + (2 * -1 + -3x * -1)
18 + -6x = x + (-2 + 3x)

Reorder the terms:
18 + -6x = -2 + x + 3x

Combine like terms: x + 3x = 4x
18 + -6x = -2 + 4x

Solving
18 + -6x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + -6x + -4x = -2 + 4x + -4x

Combine like terms: -6x + -4x = -10x
18 + -10x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -10x = -2 + 0
18 + -10x = -2

Add '-18' to each side of the equation.
18 + -18 + -10x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = -2 + -18
-10x = -2 + -18

Combine like terms: -2 + -18 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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