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

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


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

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

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

Reorder the terms:
-12 + 6x = 2(-4 + 2x)
-12 + 6x = (-4 * 2 + 2x * 2)
-12 + 6x = (-8 + 4x)

Solving
-12 + 6x = -8 + 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 = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-12 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 2x = -8 + 0
-12 + 2x = -8

Add '12' to each side of the equation.
-12 + 12 + 2x = -8 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -8 + 12
2x = -8 + 12

Combine like terms: -8 + 12 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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