6(3x+2)-5(6x-1)=6(x-3)-5(7x-6)+12x

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Solution for 6(3x+2)-5(6x-1)=6(x-3)-5(7x-6)+12x equation:


Simplifying
6(3x + 2) + -5(6x + -1) = 6(x + -3) + -5(7x + -6) + 12x

Reorder the terms:
6(2 + 3x) + -5(6x + -1) = 6(x + -3) + -5(7x + -6) + 12x
(2 * 6 + 3x * 6) + -5(6x + -1) = 6(x + -3) + -5(7x + -6) + 12x
(12 + 18x) + -5(6x + -1) = 6(x + -3) + -5(7x + -6) + 12x

Reorder the terms:
12 + 18x + -5(-1 + 6x) = 6(x + -3) + -5(7x + -6) + 12x
12 + 18x + (-1 * -5 + 6x * -5) = 6(x + -3) + -5(7x + -6) + 12x
12 + 18x + (5 + -30x) = 6(x + -3) + -5(7x + -6) + 12x

Reorder the terms:
12 + 5 + 18x + -30x = 6(x + -3) + -5(7x + -6) + 12x

Combine like terms: 12 + 5 = 17
17 + 18x + -30x = 6(x + -3) + -5(7x + -6) + 12x

Combine like terms: 18x + -30x = -12x
17 + -12x = 6(x + -3) + -5(7x + -6) + 12x

Reorder the terms:
17 + -12x = 6(-3 + x) + -5(7x + -6) + 12x
17 + -12x = (-3 * 6 + x * 6) + -5(7x + -6) + 12x
17 + -12x = (-18 + 6x) + -5(7x + -6) + 12x

Reorder the terms:
17 + -12x = -18 + 6x + -5(-6 + 7x) + 12x
17 + -12x = -18 + 6x + (-6 * -5 + 7x * -5) + 12x
17 + -12x = -18 + 6x + (30 + -35x) + 12x

Reorder the terms:
17 + -12x = -18 + 30 + 6x + -35x + 12x

Combine like terms: -18 + 30 = 12
17 + -12x = 12 + 6x + -35x + 12x

Combine like terms: 6x + -35x = -29x
17 + -12x = 12 + -29x + 12x

Combine like terms: -29x + 12x = -17x
17 + -12x = 12 + -17x

Solving
17 + -12x = 12 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
17 + -12x + 17x = 12 + -17x + 17x

Combine like terms: -12x + 17x = 5x
17 + 5x = 12 + -17x + 17x

Combine like terms: -17x + 17x = 0
17 + 5x = 12 + 0
17 + 5x = 12

Add '-17' to each side of the equation.
17 + -17 + 5x = 12 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 12 + -17
5x = 12 + -17

Combine like terms: 12 + -17 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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