6(x-1)-9=-3(-8x+6)-6x

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


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

Reorder the terms:
6(-1 + x) + -9 = -3(-8x + 6) + -6x
(-1 * 6 + x * 6) + -9 = -3(-8x + 6) + -6x
(-6 + 6x) + -9 = -3(-8x + 6) + -6x

Reorder the terms:
-6 + -9 + 6x = -3(-8x + 6) + -6x

Combine like terms: -6 + -9 = -15
-15 + 6x = -3(-8x + 6) + -6x

Reorder the terms:
-15 + 6x = -3(6 + -8x) + -6x
-15 + 6x = (6 * -3 + -8x * -3) + -6x
-15 + 6x = (-18 + 24x) + -6x

Combine like terms: 24x + -6x = 18x
-15 + 6x = -18 + 18x

Solving
-15 + 6x = -18 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-15 + 6x + -18x = -18 + 18x + -18x

Combine like terms: 6x + -18x = -12x
-15 + -12x = -18 + 18x + -18x

Combine like terms: 18x + -18x = 0
-15 + -12x = -18 + 0
-15 + -12x = -18

Add '15' to each side of the equation.
-15 + 15 + -12x = -18 + 15

Combine like terms: -15 + 15 = 0
0 + -12x = -18 + 15
-12x = -18 + 15

Combine like terms: -18 + 15 = -3
-12x = -3

Divide each side by '-12'.
x = 0.25

Simplifying
x = 0.25

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