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

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


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

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

Combine like terms: 2 + 12 = 14
14 + -3x + -3x = 3 + -2(x + -3) + 6(1 + -1x)

Combine like terms: -3x + -3x = -6x
14 + -6x = 3 + -2(x + -3) + 6(1 + -1x)

Reorder the terms:
14 + -6x = 3 + -2(-3 + x) + 6(1 + -1x)
14 + -6x = 3 + (-3 * -2 + x * -2) + 6(1 + -1x)
14 + -6x = 3 + (6 + -2x) + 6(1 + -1x)
14 + -6x = 3 + 6 + -2x + (1 * 6 + -1x * 6)
14 + -6x = 3 + 6 + -2x + (6 + -6x)

Reorder the terms:
14 + -6x = 3 + 6 + 6 + -2x + -6x

Combine like terms: 3 + 6 = 9
14 + -6x = 9 + 6 + -2x + -6x

Combine like terms: 9 + 6 = 15
14 + -6x = 15 + -2x + -6x

Combine like terms: -2x + -6x = -8x
14 + -6x = 15 + -8x

Solving
14 + -6x = 15 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
14 + -6x + 8x = 15 + -8x + 8x

Combine like terms: -6x + 8x = 2x
14 + 2x = 15 + -8x + 8x

Combine like terms: -8x + 8x = 0
14 + 2x = 15 + 0
14 + 2x = 15

Add '-14' to each side of the equation.
14 + -14 + 2x = 15 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 15 + -14
2x = 15 + -14

Combine like terms: 15 + -14 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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