8-3(2x-4)+3x=9-2x

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Solution for 8-3(2x-4)+3x=9-2x equation: 


Simplifying
8 + -3(2x + -4) + 3x = 9 + -2x

Reorder the terms:
8 + -3(-4 + 2x) + 3x = 9 + -2x
8 + (-4 * -3 + 2x * -3) + 3x = 9 + -2x
8 + (12 + -6x) + 3x = 9 + -2x

Combine like terms: 8 + 12 = 20
20 + -6x + 3x = 9 + -2x

Combine like terms: -6x + 3x = -3x
20 + -3x = 9 + -2x

Solving
20 + -3x = 9 + -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.
20 + -3x + 2x = 9 + -2x + 2x

Combine like terms: -3x + 2x = -1x
20 + -1x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + -1x = 9 + 0
20 + -1x = 9

Add '-20' to each side of the equation.
20 + -20 + -1x = 9 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 9 + -20
-1x = 9 + -20

Combine like terms: 9 + -20 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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