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

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


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

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

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

Solving
-12 + 3x = -18 + 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 + 3x + -6x = -18 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-12 + -3x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -3x = -18 + 0
-12 + -3x = -18

Add '12' to each side of the equation.
-12 + 12 + -3x = -18 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -18 + 12
-3x = -18 + 12

Combine like terms: -18 + 12 = -6
-3x = -6

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

Simplifying
x = 2

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