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

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


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

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

Remove parenthesis around (-6 + 3x)
-6 + 3x = 3(2x + -4)

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

Solving
-6 + 3x = -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.
-6 + 3x + -6x = -12 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = -12 + 0
-6 + -3x = -12

Add '6' to each side of the equation.
-6 + 6 + -3x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -12 + 6
-3x = -12 + 6

Combine like terms: -12 + 6 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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