3(x-4)-2(3x+2)=x-16

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Solution for 3(x-4)-2(3x+2)=x-16 equation: 


Simplifying
3(x + -4) + -2(3x + 2) = x + -16

Reorder the terms:
3(-4 + x) + -2(3x + 2) = x + -16
(-4 * 3 + x * 3) + -2(3x + 2) = x + -16
(-12 + 3x) + -2(3x + 2) = x + -16

Reorder the terms:
-12 + 3x + -2(2 + 3x) = x + -16
-12 + 3x + (2 * -2 + 3x * -2) = x + -16
-12 + 3x + (-4 + -6x) = x + -16

Reorder the terms:
-12 + -4 + 3x + -6x = x + -16

Combine like terms: -12 + -4 = -16
-16 + 3x + -6x = x + -16

Combine like terms: 3x + -6x = -3x
-16 + -3x = x + -16

Reorder the terms:
-16 + -3x = -16 + x

Add '16' to each side of the equation.
-16 + 16 + -3x = -16 + 16 + x

Combine like terms: -16 + 16 = 0
0 + -3x = -16 + 16 + x
-3x = -16 + 16 + x

Combine like terms: -16 + 16 = 0
-3x = 0 + x
-3x = x

Solving
-3x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3x + -1x = x + -1x

Combine like terms: -3x + -1x = -4x
-4x = x + -1x

Combine like terms: x + -1x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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