6(6-2x)=-27x-1.5(-4x+6)

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Solution for 6(6-2x)=-27x-1.5(-4x+6) equation: 


Simplifying
6(6 + -2x) = -27x + -1.5(-4x + 6)
(6 * 6 + -2x * 6) = -27x + -1.5(-4x + 6)
(36 + -12x) = -27x + -1.5(-4x + 6)

Reorder the terms:
36 + -12x = -27x + -1.5(6 + -4x)
36 + -12x = -27x + (6 * -1.5 + -4x * -1.5)
36 + -12x = -27x + (-9 + 6x)

Reorder the terms:
36 + -12x = -9 + -27x + 6x

Combine like terms: -27x + 6x = -21x
36 + -12x = -9 + -21x

Solving
36 + -12x = -9 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
36 + -12x + 21x = -9 + -21x + 21x

Combine like terms: -12x + 21x = 9x
36 + 9x = -9 + -21x + 21x

Combine like terms: -21x + 21x = 0
36 + 9x = -9 + 0
36 + 9x = -9

Add '-36' to each side of the equation.
36 + -36 + 9x = -9 + -36

Combine like terms: 36 + -36 = 0
0 + 9x = -9 + -36
9x = -9 + -36

Combine like terms: -9 + -36 = -45
9x = -45

Divide each side by '9'.
x = -5

Simplifying
x = -5

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