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

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


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

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

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

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

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

Solving
2 + -4x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + -4x + -12x = -6 + 12x + -12x

Combine like terms: -4x + -12x = -16x
2 + -16x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -16x = -6 + 0
2 + -16x = -6

Add '-2' to each side of the equation.
2 + -2 + -16x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -16x = -6 + -2
-16x = -6 + -2

Combine like terms: -6 + -2 = -8
-16x = -8

Divide each side by '-16'.
x = 0.5

Simplifying
x = 0.5

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