-3(6x-12+3x)-4x(3-2+1)-6(2x-20)=2x

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Solution for -3(6x-12+3x)-4x(3-2+1)-6(2x-20)=2x equation: 


Simplifying
-3(6x + -12 + 3x) + -4x(3 + -2 + 1) + -6(2x + -20) = 2x

Reorder the terms:
-3(-12 + 6x + 3x) + -4x(3 + -2 + 1) + -6(2x + -20) = 2x

Combine like terms: 6x + 3x = 9x
-3(-12 + 9x) + -4x(3 + -2 + 1) + -6(2x + -20) = 2x
(-12 * -3 + 9x * -3) + -4x(3 + -2 + 1) + -6(2x + -20) = 2x
(36 + -27x) + -4x(3 + -2 + 1) + -6(2x + -20) = 2x

Combine like terms: 3 + -2 = 1
36 + -27x + -4x(1 + 1) + -6(2x + -20) = 2x

Combine like terms: 1 + 1 = 2
36 + -27x + -4x(2) + -6(2x + -20) = 2x

Reorder the terms for easier multiplication:
36 + -27x + -4 * 2x + -6(2x + -20) = 2x

Multiply -4 * 2
36 + -27x + -8x + -6(2x + -20) = 2x

Reorder the terms:
36 + -27x + -8x + -6(-20 + 2x) = 2x
36 + -27x + -8x + (-20 * -6 + 2x * -6) = 2x
36 + -27x + -8x + (120 + -12x) = 2x

Reorder the terms:
36 + 120 + -27x + -8x + -12x = 2x

Combine like terms: 36 + 120 = 156
156 + -27x + -8x + -12x = 2x

Combine like terms: -27x + -8x = -35x
156 + -35x + -12x = 2x

Combine like terms: -35x + -12x = -47x
156 + -47x = 2x

Solving
156 + -47x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
156 + -47x + -2x = 2x + -2x

Combine like terms: -47x + -2x = -49x
156 + -49x = 2x + -2x

Combine like terms: 2x + -2x = 0
156 + -49x = 0

Add '-156' to each side of the equation.
156 + -156 + -49x = 0 + -156

Combine like terms: 156 + -156 = 0
0 + -49x = 0 + -156
-49x = 0 + -156

Combine like terms: 0 + -156 = -156
-49x = -156

Divide each side by '-49'.
x = 3.183673469

Simplifying
x = 3.183673469

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