3(2x-6)=6(1-x)

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Solution for 3(2x-6)=6(1-x) equation:


Simplifying
3(2x + -6) = 6(1 + -1x)

Reorder the terms:
3(-6 + 2x) = 6(1 + -1x)
(-6 * 3 + 2x * 3) = 6(1 + -1x)
(-18 + 6x) = 6(1 + -1x)
-18 + 6x = (1 * 6 + -1x * 6)
-18 + 6x = (6 + -6x)

Solving
-18 + 6x = 6 + -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.
-18 + 6x + 6x = 6 + -6x + 6x

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

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

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

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

Combine like terms: 6 + 18 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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