(-3)(2x-4)+2(2x-4)-x=17

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Solution for (-3)(2x-4)+2(2x-4)-x=17 equation: 


Simplifying
(-3)(2x + -4) + 2(2x + -4) + -1x = 17

Reorder the terms:
-3(-4 + 2x) + 2(2x + -4) + -1x = 17
(-4 * -3 + 2x * -3) + 2(2x + -4) + -1x = 17
(12 + -6x) + 2(2x + -4) + -1x = 17

Reorder the terms:
12 + -6x + 2(-4 + 2x) + -1x = 17
12 + -6x + (-4 * 2 + 2x * 2) + -1x = 17
12 + -6x + (-8 + 4x) + -1x = 17

Reorder the terms:
12 + -8 + -6x + 4x + -1x = 17

Combine like terms: 12 + -8 = 4
4 + -6x + 4x + -1x = 17

Combine like terms: -6x + 4x = -2x
4 + -2x + -1x = 17

Combine like terms: -2x + -1x = -3x
4 + -3x = 17

Solving
4 + -3x = 17

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 17 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 17 + -4
-3x = 17 + -4

Combine like terms: 17 + -4 = 13
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

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