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

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


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

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

Reorder the terms:
12 + 18x + 5(-6 + 7x) + -12x = 6(x + -3) + 5(6x + -1)
12 + 18x + (-6 * 5 + 7x * 5) + -12x = 6(x + -3) + 5(6x + -1)
12 + 18x + (-30 + 35x) + -12x = 6(x + -3) + 5(6x + -1)

Reorder the terms:
12 + -30 + 18x + 35x + -12x = 6(x + -3) + 5(6x + -1)

Combine like terms: 12 + -30 = -18
-18 + 18x + 35x + -12x = 6(x + -3) + 5(6x + -1)

Combine like terms: 18x + 35x = 53x
-18 + 53x + -12x = 6(x + -3) + 5(6x + -1)

Combine like terms: 53x + -12x = 41x
-18 + 41x = 6(x + -3) + 5(6x + -1)

Reorder the terms:
-18 + 41x = 6(-3 + x) + 5(6x + -1)
-18 + 41x = (-3 * 6 + x * 6) + 5(6x + -1)
-18 + 41x = (-18 + 6x) + 5(6x + -1)

Reorder the terms:
-18 + 41x = -18 + 6x + 5(-1 + 6x)
-18 + 41x = -18 + 6x + (-1 * 5 + 6x * 5)
-18 + 41x = -18 + 6x + (-5 + 30x)

Reorder the terms:
-18 + 41x = -18 + -5 + 6x + 30x

Combine like terms: -18 + -5 = -23
-18 + 41x = -23 + 6x + 30x

Combine like terms: 6x + 30x = 36x
-18 + 41x = -23 + 36x

Solving
-18 + 41x = -23 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-18 + 41x + -36x = -23 + 36x + -36x

Combine like terms: 41x + -36x = 5x
-18 + 5x = -23 + 36x + -36x

Combine like terms: 36x + -36x = 0
-18 + 5x = -23 + 0
-18 + 5x = -23

Add '18' to each side of the equation.
-18 + 18 + 5x = -23 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -23 + 18
5x = -23 + 18

Combine like terms: -23 + 18 = -5
5x = -5

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

Simplifying
x = -1

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