2x-3(4x+2)-6=9-2(5-2x)-3x

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Solution for 2x-3(4x+2)-6=9-2(5-2x)-3x equation:


Simplifying
2x + -3(4x + 2) + -6 = 9 + -2(5 + -2x) + -3x

Reorder the terms:
2x + -3(2 + 4x) + -6 = 9 + -2(5 + -2x) + -3x
2x + (2 * -3 + 4x * -3) + -6 = 9 + -2(5 + -2x) + -3x
2x + (-6 + -12x) + -6 = 9 + -2(5 + -2x) + -3x

Reorder the terms:
-6 + -6 + 2x + -12x = 9 + -2(5 + -2x) + -3x

Combine like terms: -6 + -6 = -12
-12 + 2x + -12x = 9 + -2(5 + -2x) + -3x

Combine like terms: 2x + -12x = -10x
-12 + -10x = 9 + -2(5 + -2x) + -3x
-12 + -10x = 9 + (5 * -2 + -2x * -2) + -3x
-12 + -10x = 9 + (-10 + 4x) + -3x

Combine like terms: 9 + -10 = -1
-12 + -10x = -1 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-12 + -10x = -1 + 1x

Solving
-12 + -10x = -1 + 1x

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.
-12 + -10x + -1x = -1 + 1x + -1x

Combine like terms: -10x + -1x = -11x
-12 + -11x = -1 + 1x + -1x

Combine like terms: 1x + -1x = 0
-12 + -11x = -1 + 0
-12 + -11x = -1

Add '12' to each side of the equation.
-12 + 12 + -11x = -1 + 12

Combine like terms: -12 + 12 = 0
0 + -11x = -1 + 12
-11x = -1 + 12

Combine like terms: -1 + 12 = 11
-11x = 11

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

Simplifying
x = -1

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