3(-2x+4)-x-8=3x-16

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Solution for 3(-2x+4)-x-8=3x-16 equation:


Simplifying
3(-2x + 4) + -1x + -8 = 3x + -16

Reorder the terms:
3(4 + -2x) + -1x + -8 = 3x + -16
(4 * 3 + -2x * 3) + -1x + -8 = 3x + -16
(12 + -6x) + -1x + -8 = 3x + -16

Reorder the terms:
12 + -8 + -6x + -1x = 3x + -16

Combine like terms: 12 + -8 = 4
4 + -6x + -1x = 3x + -16

Combine like terms: -6x + -1x = -7x
4 + -7x = 3x + -16

Reorder the terms:
4 + -7x = -16 + 3x

Solving
4 + -7x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + -7x + -3x = -16 + 3x + -3x

Combine like terms: -7x + -3x = -10x
4 + -10x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -10x = -16 + 0
4 + -10x = -16

Add '-4' to each side of the equation.
4 + -4 + -10x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -10x = -16 + -4
-10x = -16 + -4

Combine like terms: -16 + -4 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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