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

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


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

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

Reorder the terms:
-12 + 6x + 6(-4 + x) = -3(4 + -5x) + 5x + -6
-12 + 6x + (-4 * 6 + x * 6) = -3(4 + -5x) + 5x + -6
-12 + 6x + (-24 + 6x) = -3(4 + -5x) + 5x + -6

Reorder the terms:
-12 + -24 + 6x + 6x = -3(4 + -5x) + 5x + -6

Combine like terms: -12 + -24 = -36
-36 + 6x + 6x = -3(4 + -5x) + 5x + -6

Combine like terms: 6x + 6x = 12x
-36 + 12x = -3(4 + -5x) + 5x + -6
-36 + 12x = (4 * -3 + -5x * -3) + 5x + -6
-36 + 12x = (-12 + 15x) + 5x + -6

Reorder the terms:
-36 + 12x = -12 + -6 + 15x + 5x

Combine like terms: -12 + -6 = -18
-36 + 12x = -18 + 15x + 5x

Combine like terms: 15x + 5x = 20x
-36 + 12x = -18 + 20x

Solving
-36 + 12x = -18 + 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.
-36 + 12x + -20x = -18 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-36 + -8x = -18 + 20x + -20x

Combine like terms: 20x + -20x = 0
-36 + -8x = -18 + 0
-36 + -8x = -18

Add '36' to each side of the equation.
-36 + 36 + -8x = -18 + 36

Combine like terms: -36 + 36 = 0
0 + -8x = -18 + 36
-8x = -18 + 36

Combine like terms: -18 + 36 = 18
-8x = 18

Divide each side by '-8'.
x = -2.25

Simplifying
x = -2.25

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