(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 = -20
-20 + 6x + 4x + -1x = -17

Combine like terms: 6x + 4x = 10x
-20 + 10x + -1x = -17

Combine like terms: 10x + -1x = 9x
-20 + 9x = -17

Solving
-20 + 9x = -17

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 9x = -17 + 20

Combine like terms: -20 + 20 = 0
0 + 9x = -17 + 20
9x = -17 + 20

Combine like terms: -17 + 20 = 3
9x = 3

Divide each side by '9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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