6(3x-3)-8x-6=-2x+36(-18x+54)-18+9x

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Solution for 6(3x-3)-8x-6=-2x+36(-18x+54)-18+9x equation: 


Simplifying
6(3x + -3) + -8x + -6 = -2x + 36(-18x + 54) + -18 + 9x

Reorder the terms:
6(-3 + 3x) + -8x + -6 = -2x + 36(-18x + 54) + -18 + 9x
(-3 * 6 + 3x * 6) + -8x + -6 = -2x + 36(-18x + 54) + -18 + 9x
(-18 + 18x) + -8x + -6 = -2x + 36(-18x + 54) + -18 + 9x

Reorder the terms:
-18 + -6 + 18x + -8x = -2x + 36(-18x + 54) + -18 + 9x

Combine like terms: -18 + -6 = -24
-24 + 18x + -8x = -2x + 36(-18x + 54) + -18 + 9x

Combine like terms: 18x + -8x = 10x
-24 + 10x = -2x + 36(-18x + 54) + -18 + 9x

Reorder the terms:
-24 + 10x = -2x + 36(54 + -18x) + -18 + 9x
-24 + 10x = -2x + (54 * 36 + -18x * 36) + -18 + 9x
-24 + 10x = -2x + (1944 + -648x) + -18 + 9x

Reorder the terms:
-24 + 10x = 1944 + -18 + -2x + -648x + 9x

Combine like terms: 1944 + -18 = 1926
-24 + 10x = 1926 + -2x + -648x + 9x

Combine like terms: -2x + -648x = -650x
-24 + 10x = 1926 + -650x + 9x

Combine like terms: -650x + 9x = -641x
-24 + 10x = 1926 + -641x

Solving
-24 + 10x = 1926 + -641x

Solving for variable 'x'.

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

Add '641x' to each side of the equation.
-24 + 10x + 641x = 1926 + -641x + 641x

Combine like terms: 10x + 641x = 651x
-24 + 651x = 1926 + -641x + 641x

Combine like terms: -641x + 641x = 0
-24 + 651x = 1926 + 0
-24 + 651x = 1926

Add '24' to each side of the equation.
-24 + 24 + 651x = 1926 + 24

Combine like terms: -24 + 24 = 0
0 + 651x = 1926 + 24
651x = 1926 + 24

Combine like terms: 1926 + 24 = 1950
651x = 1950

Divide each side by '651'.
x = 2.995391705

Simplifying
x = 2.995391705

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