2(3x-6)+6(x-3)=-3(3-5x)+5x-7

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Solution for 2(3x-6)+6(x-3)=-3(3-5x)+5x-7 equation:


Simplifying
2(3x + -6) + 6(x + -3) = -3(3 + -5x) + 5x + -7

Reorder the terms:
2(-6 + 3x) + 6(x + -3) = -3(3 + -5x) + 5x + -7
(-6 * 2 + 3x * 2) + 6(x + -3) = -3(3 + -5x) + 5x + -7
(-12 + 6x) + 6(x + -3) = -3(3 + -5x) + 5x + -7

Reorder the terms:
-12 + 6x + 6(-3 + x) = -3(3 + -5x) + 5x + -7
-12 + 6x + (-3 * 6 + x * 6) = -3(3 + -5x) + 5x + -7
-12 + 6x + (-18 + 6x) = -3(3 + -5x) + 5x + -7

Reorder the terms:
-12 + -18 + 6x + 6x = -3(3 + -5x) + 5x + -7

Combine like terms: -12 + -18 = -30
-30 + 6x + 6x = -3(3 + -5x) + 5x + -7

Combine like terms: 6x + 6x = 12x
-30 + 12x = -3(3 + -5x) + 5x + -7
-30 + 12x = (3 * -3 + -5x * -3) + 5x + -7
-30 + 12x = (-9 + 15x) + 5x + -7

Reorder the terms:
-30 + 12x = -9 + -7 + 15x + 5x

Combine like terms: -9 + -7 = -16
-30 + 12x = -16 + 15x + 5x

Combine like terms: 15x + 5x = 20x
-30 + 12x = -16 + 20x

Solving
-30 + 12x = -16 + 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 = -16 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-30 + -8x = -16 + 20x + -20x

Combine like terms: 20x + -20x = 0
-30 + -8x = -16 + 0
-30 + -8x = -16

Add '30' to each side of the equation.
-30 + 30 + -8x = -16 + 30

Combine like terms: -30 + 30 = 0
0 + -8x = -16 + 30
-8x = -16 + 30

Combine like terms: -16 + 30 = 14
-8x = 14

Divide each side by '-8'.
x = -1.75

Simplifying
x = -1.75

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