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

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


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

Reorder the terms:
3(-4 + 2x) = 2(9 + -2x)
(-4 * 3 + 2x * 3) = 2(9 + -2x)
(-12 + 6x) = 2(9 + -2x)
-12 + 6x = (9 * 2 + -2x * 2)
-12 + 6x = (18 + -4x)

Solving
-12 + 6x = 18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-12 + 6x + 4x = 18 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-12 + 10x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 10x = 18 + 0
-12 + 10x = 18

Add '12' to each side of the equation.
-12 + 12 + 10x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 18 + 12
10x = 18 + 12

Combine like terms: 18 + 12 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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