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

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


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

Reorder the terms:
3(-6 + 2x) + 6(x + -2) = -3(5 + -5x) + 5x + -5
(-6 * 3 + 2x * 3) + 6(x + -2) = -3(5 + -5x) + 5x + -5
(-18 + 6x) + 6(x + -2) = -3(5 + -5x) + 5x + -5

Reorder the terms:
-18 + 6x + 6(-2 + x) = -3(5 + -5x) + 5x + -5
-18 + 6x + (-2 * 6 + x * 6) = -3(5 + -5x) + 5x + -5
-18 + 6x + (-12 + 6x) = -3(5 + -5x) + 5x + -5

Reorder the terms:
-18 + -12 + 6x + 6x = -3(5 + -5x) + 5x + -5

Combine like terms: -18 + -12 = -30
-30 + 6x + 6x = -3(5 + -5x) + 5x + -5

Combine like terms: 6x + 6x = 12x
-30 + 12x = -3(5 + -5x) + 5x + -5
-30 + 12x = (5 * -3 + -5x * -3) + 5x + -5
-30 + 12x = (-15 + 15x) + 5x + -5

Reorder the terms:
-30 + 12x = -15 + -5 + 15x + 5x

Combine like terms: -15 + -5 = -20
-30 + 12x = -20 + 15x + 5x

Combine like terms: 15x + 5x = 20x
-30 + 12x = -20 + 20x

Solving
-30 + 12x = -20 + 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.
-30 + 12x + -20x = -20 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-30 + -8x = -20 + 20x + -20x

Combine like terms: 20x + -20x = 0
-30 + -8x = -20 + 0
-30 + -8x = -20

Add '30' to each side of the equation.
-30 + 30 + -8x = -20 + 30

Combine like terms: -30 + 30 = 0
0 + -8x = -20 + 30
-8x = -20 + 30

Combine like terms: -20 + 30 = 10
-8x = 10

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

Simplifying
x = -1.25

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