2x-(3x-4)=3(4-2x)+8

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Solution for 2x-(3x-4)=3(4-2x)+8 equation: 


Simplifying
2x + -1(3x + -4) = 3(4 + -2x) + 8

Reorder the terms:
2x + -1(-4 + 3x) = 3(4 + -2x) + 8
2x + (-4 * -1 + 3x * -1) = 3(4 + -2x) + 8
2x + (4 + -3x) = 3(4 + -2x) + 8

Reorder the terms:
4 + 2x + -3x = 3(4 + -2x) + 8

Combine like terms: 2x + -3x = -1x
4 + -1x = 3(4 + -2x) + 8
4 + -1x = (4 * 3 + -2x * 3) + 8
4 + -1x = (12 + -6x) + 8

Reorder the terms:
4 + -1x = 12 + 8 + -6x

Combine like terms: 12 + 8 = 20
4 + -1x = 20 + -6x

Solving
4 + -1x = 20 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
4 + -1x + 6x = 20 + -6x + 6x

Combine like terms: -1x + 6x = 5x
4 + 5x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
4 + 5x = 20 + 0
4 + 5x = 20

Add '-4' to each side of the equation.
4 + -4 + 5x = 20 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 20 + -4
5x = 20 + -4

Combine like terms: 20 + -4 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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