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

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


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

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

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

Remove parenthesis around (-4 + 2x)
-12 + 6x = -4 + 2x

Solving
-12 + 6x = -4 + 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.
-12 + 6x + -2x = -4 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-12 + 4x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 4x = -4 + 0
-12 + 4x = -4

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

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

Combine like terms: -4 + 12 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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