3x-6*(2x-3)=-2*(x-1)+16

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Solution for 3x-6*(2x-3)=-2*(x-1)+16 equation: 


Simplifying
3x + -6(2x + -3) = -2(x + -1) + 16

Reorder the terms:
3x + -6(-3 + 2x) = -2(x + -1) + 16
3x + (-3 * -6 + 2x * -6) = -2(x + -1) + 16
3x + (18 + -12x) = -2(x + -1) + 16

Reorder the terms:
18 + 3x + -12x = -2(x + -1) + 16

Combine like terms: 3x + -12x = -9x
18 + -9x = -2(x + -1) + 16

Reorder the terms:
18 + -9x = -2(-1 + x) + 16
18 + -9x = (-1 * -2 + x * -2) + 16
18 + -9x = (2 + -2x) + 16

Reorder the terms:
18 + -9x = 2 + 16 + -2x

Combine like terms: 2 + 16 = 18
18 + -9x = 18 + -2x

Add '-18' to each side of the equation.
18 + -18 + -9x = 18 + -18 + -2x

Combine like terms: 18 + -18 = 0
0 + -9x = 18 + -18 + -2x
-9x = 18 + -18 + -2x

Combine like terms: 18 + -18 = 0
-9x = 0 + -2x
-9x = -2x

Solving
-9x = -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.
-9x + 2x = -2x + 2x

Combine like terms: -9x + 2x = -7x
-7x = -2x + 2x

Combine like terms: -2x + 2x = 0
-7x = 0

Divide each side by '-7'.
x = 0

Simplifying
x = 0

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