3(2x-4)+6(x-2)=-3(4-5x)+5x-2

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Solution for 3(2x-4)+6(x-2)=-3(4-5x)+5x-2 equation: 


Simplifying
3(2x + -4) + 6(x + -2) = -3(4 + -5x) + 5x + -2

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

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

Reorder the terms:
-12 + -12 + 6x + 6x = -3(4 + -5x) + 5x + -2

Combine like terms: -12 + -12 = -24
-24 + 6x + 6x = -3(4 + -5x) + 5x + -2

Combine like terms: 6x + 6x = 12x
-24 + 12x = -3(4 + -5x) + 5x + -2
-24 + 12x = (4 * -3 + -5x * -3) + 5x + -2
-24 + 12x = (-12 + 15x) + 5x + -2

Reorder the terms:
-24 + 12x = -12 + -2 + 15x + 5x

Combine like terms: -12 + -2 = -14
-24 + 12x = -14 + 15x + 5x

Combine like terms: 15x + 5x = 20x
-24 + 12x = -14 + 20x

Solving
-24 + 12x = -14 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-24 + 12x + -20x = -14 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-24 + -8x = -14 + 20x + -20x

Combine like terms: 20x + -20x = 0
-24 + -8x = -14 + 0
-24 + -8x = -14

Add '24' to each side of the equation.
-24 + 24 + -8x = -14 + 24

Combine like terms: -24 + 24 = 0
0 + -8x = -14 + 24
-8x = -14 + 24

Combine like terms: -14 + 24 = 10
-8x = 10

Divide each side by '-8'.
x = -1.25

Simplifying
x = -1.25

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