6(3x+2)-5(6x-1)=3(x-8)-5(7x-6)+9

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Solution for 6(3x+2)-5(6x-1)=3(x-8)-5(7x-6)+9 equation:


Simplifying
6(3x + 2) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) + 9

Reorder the terms:
6(2 + 3x) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) + 9
(2 * 6 + 3x * 6) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) + 9
(12 + 18x) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) + 9

Reorder the terms:
12 + 18x + -5(-1 + 6x) = 3(x + -8) + -5(7x + -6) + 9
12 + 18x + (-1 * -5 + 6x * -5) = 3(x + -8) + -5(7x + -6) + 9
12 + 18x + (5 + -30x) = 3(x + -8) + -5(7x + -6) + 9

Reorder the terms:
12 + 5 + 18x + -30x = 3(x + -8) + -5(7x + -6) + 9

Combine like terms: 12 + 5 = 17
17 + 18x + -30x = 3(x + -8) + -5(7x + -6) + 9

Combine like terms: 18x + -30x = -12x
17 + -12x = 3(x + -8) + -5(7x + -6) + 9

Reorder the terms:
17 + -12x = 3(-8 + x) + -5(7x + -6) + 9
17 + -12x = (-8 * 3 + x * 3) + -5(7x + -6) + 9
17 + -12x = (-24 + 3x) + -5(7x + -6) + 9

Reorder the terms:
17 + -12x = -24 + 3x + -5(-6 + 7x) + 9
17 + -12x = -24 + 3x + (-6 * -5 + 7x * -5) + 9
17 + -12x = -24 + 3x + (30 + -35x) + 9

Reorder the terms:
17 + -12x = -24 + 30 + 9 + 3x + -35x

Combine like terms: -24 + 30 = 6
17 + -12x = 6 + 9 + 3x + -35x

Combine like terms: 6 + 9 = 15
17 + -12x = 15 + 3x + -35x

Combine like terms: 3x + -35x = -32x
17 + -12x = 15 + -32x

Solving
17 + -12x = 15 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
17 + -12x + 32x = 15 + -32x + 32x

Combine like terms: -12x + 32x = 20x
17 + 20x = 15 + -32x + 32x

Combine like terms: -32x + 32x = 0
17 + 20x = 15 + 0
17 + 20x = 15

Add '-17' to each side of the equation.
17 + -17 + 20x = 15 + -17

Combine like terms: 17 + -17 = 0
0 + 20x = 15 + -17
20x = 15 + -17

Combine like terms: 15 + -17 = -2
20x = -2

Divide each side by '20'.
x = -0.1

Simplifying
x = -0.1

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