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

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Solution for 3(4x+2)-2(3x-1)=2(x-3)+2(x-6) equation: 


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

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

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

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

Combine like terms: 6 + 2 = 8
8 + 12x + -6x = 2(x + -3) + 2(x + -6)

Combine like terms: 12x + -6x = 6x
8 + 6x = 2(x + -3) + 2(x + -6)

Reorder the terms:
8 + 6x = 2(-3 + x) + 2(x + -6)
8 + 6x = (-3 * 2 + x * 2) + 2(x + -6)
8 + 6x = (-6 + 2x) + 2(x + -6)

Reorder the terms:
8 + 6x = -6 + 2x + 2(-6 + x)
8 + 6x = -6 + 2x + (-6 * 2 + x * 2)
8 + 6x = -6 + 2x + (-12 + 2x)

Reorder the terms:
8 + 6x = -6 + -12 + 2x + 2x

Combine like terms: -6 + -12 = -18
8 + 6x = -18 + 2x + 2x

Combine like terms: 2x + 2x = 4x
8 + 6x = -18 + 4x

Solving
8 + 6x = -18 + 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.
8 + 6x + -4x = -18 + 4x + -4x

Combine like terms: 6x + -4x = 2x
8 + 2x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 2x = -18 + 0
8 + 2x = -18

Add '-8' to each side of the equation.
8 + -8 + 2x = -18 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = -18 + -8
2x = -18 + -8

Combine like terms: -18 + -8 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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