6(2x-1)-3(4x-5)=27x+18

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Solution for 6(2x-1)-3(4x-5)=27x+18 equation: 


Simplifying
6(2x + -1) + -3(4x + -5) = 27x + 18

Reorder the terms:
6(-1 + 2x) + -3(4x + -5) = 27x + 18
(-1 * 6 + 2x * 6) + -3(4x + -5) = 27x + 18
(-6 + 12x) + -3(4x + -5) = 27x + 18

Reorder the terms:
-6 + 12x + -3(-5 + 4x) = 27x + 18
-6 + 12x + (-5 * -3 + 4x * -3) = 27x + 18
-6 + 12x + (15 + -12x) = 27x + 18

Reorder the terms:
-6 + 15 + 12x + -12x = 27x + 18

Combine like terms: -6 + 15 = 9
9 + 12x + -12x = 27x + 18

Combine like terms: 12x + -12x = 0
9 + 0 = 27x + 18
9 = 27x + 18

Reorder the terms:
9 = 18 + 27x

Solving
9 = 18 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
9 + -27x = 18 + 27x + -27x

Combine like terms: 27x + -27x = 0
9 + -27x = 18 + 0
9 + -27x = 18

Add '-9' to each side of the equation.
9 + -9 + -27x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + -27x = 18 + -9
-27x = 18 + -9

Combine like terms: 18 + -9 = 9
-27x = 9

Divide each side by '-27'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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