3(4x-2)-8x+5(3-x)=12x+4(2-4x)-14

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Solution for 3(4x-2)-8x+5(3-x)=12x+4(2-4x)-14 equation: 


Simplifying
3(4x + -2) + -8x + 5(3 + -1x) = 12x + 4(2 + -4x) + -14

Reorder the terms:
3(-2 + 4x) + -8x + 5(3 + -1x) = 12x + 4(2 + -4x) + -14
(-2 * 3 + 4x * 3) + -8x + 5(3 + -1x) = 12x + 4(2 + -4x) + -14
(-6 + 12x) + -8x + 5(3 + -1x) = 12x + 4(2 + -4x) + -14
-6 + 12x + -8x + (3 * 5 + -1x * 5) = 12x + 4(2 + -4x) + -14
-6 + 12x + -8x + (15 + -5x) = 12x + 4(2 + -4x) + -14

Reorder the terms:
-6 + 15 + 12x + -8x + -5x = 12x + 4(2 + -4x) + -14

Combine like terms: -6 + 15 = 9
9 + 12x + -8x + -5x = 12x + 4(2 + -4x) + -14

Combine like terms: 12x + -8x = 4x
9 + 4x + -5x = 12x + 4(2 + -4x) + -14

Combine like terms: 4x + -5x = -1x
9 + -1x = 12x + 4(2 + -4x) + -14
9 + -1x = 12x + (2 * 4 + -4x * 4) + -14
9 + -1x = 12x + (8 + -16x) + -14

Reorder the terms:
9 + -1x = 8 + -14 + 12x + -16x

Combine like terms: 8 + -14 = -6
9 + -1x = -6 + 12x + -16x

Combine like terms: 12x + -16x = -4x
9 + -1x = -6 + -4x

Solving
9 + -1x = -6 + -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.
9 + -1x + 4x = -6 + -4x + 4x

Combine like terms: -1x + 4x = 3x
9 + 3x = -6 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + 3x = -6 + 0
9 + 3x = -6

Add '-9' to each side of the equation.
9 + -9 + 3x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = -6 + -9
3x = -6 + -9

Combine like terms: -6 + -9 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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