-(12-x)+6(3x-1)=6x-(2x-12)

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Solution for -(12-x)+6(3x-1)=6x-(2x-12) equation:


Simplifying
-1(12 + -1x) + 6(3x + -1) = 6x + -1(2x + -12)
(12 * -1 + -1x * -1) + 6(3x + -1) = 6x + -1(2x + -12)
(-12 + 1x) + 6(3x + -1) = 6x + -1(2x + -12)

Reorder the terms:
-12 + 1x + 6(-1 + 3x) = 6x + -1(2x + -12)
-12 + 1x + (-1 * 6 + 3x * 6) = 6x + -1(2x + -12)
-12 + 1x + (-6 + 18x) = 6x + -1(2x + -12)

Reorder the terms:
-12 + -6 + 1x + 18x = 6x + -1(2x + -12)

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

Combine like terms: 1x + 18x = 19x
-18 + 19x = 6x + -1(2x + -12)

Reorder the terms:
-18 + 19x = 6x + -1(-12 + 2x)
-18 + 19x = 6x + (-12 * -1 + 2x * -1)
-18 + 19x = 6x + (12 + -2x)

Reorder the terms:
-18 + 19x = 12 + 6x + -2x

Combine like terms: 6x + -2x = 4x
-18 + 19x = 12 + 4x

Solving
-18 + 19x = 12 + 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 + 19x + -4x = 12 + 4x + -4x

Combine like terms: 19x + -4x = 15x
-18 + 15x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 15x = 12 + 0
-18 + 15x = 12

Add '18' to each side of the equation.
-18 + 18 + 15x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 15x = 12 + 18
15x = 12 + 18

Combine like terms: 12 + 18 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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