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

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


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

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

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

Combine like terms: 2x + -3x = -1x
12 + -1x = 2(3 + -2x) + 2
12 + -1x = (3 * 2 + -2x * 2) + 2
12 + -1x = (6 + -4x) + 2

Reorder the terms:
12 + -1x = 6 + 2 + -4x

Combine like terms: 6 + 2 = 8
12 + -1x = 8 + -4x

Solving
12 + -1x = 8 + -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.
12 + -1x + 4x = 8 + -4x + 4x

Combine like terms: -1x + 4x = 3x
12 + 3x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 3x = 8 + 0
12 + 3x = 8

Add '-12' to each side of the equation.
12 + -12 + 3x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 8 + -12
3x = 8 + -12

Combine like terms: 8 + -12 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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