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

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


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

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

Reorder the terms:
-12 + 6x = 6 + -2(9 + 3x)
-12 + 6x = 6 + (9 * -2 + 3x * -2)
-12 + 6x = 6 + (-18 + -6x)

Combine like terms: 6 + -18 = -12
-12 + 6x = -12 + -6x

Add '12' to each side of the equation.
-12 + 12 + 6x = -12 + 12 + -6x

Combine like terms: -12 + 12 = 0
0 + 6x = -12 + 12 + -6x
6x = -12 + 12 + -6x

Combine like terms: -12 + 12 = 0
6x = 0 + -6x
6x = -6x

Solving
6x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6x + 6x = -6x + 6x

Combine like terms: 6x + 6x = 12x
12x = -6x + 6x

Combine like terms: -6x + 6x = 0
12x = 0

Divide each side by '12'.
x = 0

Simplifying
x = 0

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