3(2x-6)+6(x-5)=-3(5-5x)+5x-15

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Solution for 3(2x-6)+6(x-5)=-3(5-5x)+5x-15 equation: 


Simplifying
3(2x + -6) + 6(x + -5) = -3(5 + -5x) + 5x + -15

Reorder the terms:
3(-6 + 2x) + 6(x + -5) = -3(5 + -5x) + 5x + -15
(-6 * 3 + 2x * 3) + 6(x + -5) = -3(5 + -5x) + 5x + -15
(-18 + 6x) + 6(x + -5) = -3(5 + -5x) + 5x + -15

Reorder the terms:
-18 + 6x + 6(-5 + x) = -3(5 + -5x) + 5x + -15
-18 + 6x + (-5 * 6 + x * 6) = -3(5 + -5x) + 5x + -15
-18 + 6x + (-30 + 6x) = -3(5 + -5x) + 5x + -15

Reorder the terms:
-18 + -30 + 6x + 6x = -3(5 + -5x) + 5x + -15

Combine like terms: -18 + -30 = -48
-48 + 6x + 6x = -3(5 + -5x) + 5x + -15

Combine like terms: 6x + 6x = 12x
-48 + 12x = -3(5 + -5x) + 5x + -15
-48 + 12x = (5 * -3 + -5x * -3) + 5x + -15
-48 + 12x = (-15 + 15x) + 5x + -15

Reorder the terms:
-48 + 12x = -15 + -15 + 15x + 5x

Combine like terms: -15 + -15 = -30
-48 + 12x = -30 + 15x + 5x

Combine like terms: 15x + 5x = 20x
-48 + 12x = -30 + 20x

Solving
-48 + 12x = -30 + 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.
-48 + 12x + -20x = -30 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-48 + -8x = -30 + 20x + -20x

Combine like terms: 20x + -20x = 0
-48 + -8x = -30 + 0
-48 + -8x = -30

Add '48' to each side of the equation.
-48 + 48 + -8x = -30 + 48

Combine like terms: -48 + 48 = 0
0 + -8x = -30 + 48
-8x = -30 + 48

Combine like terms: -30 + 48 = 18
-8x = 18

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

Simplifying
x = -2.25

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