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

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


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

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

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

Solving
-12 + 6x = 12 + -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.
-12 + 6x + 6x = 12 + -6x + 6x

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

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

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

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

Combine like terms: 12 + 12 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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