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

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


Simplifying
6(2x + -6) = 6(4 + -1x)

Reorder the terms:
6(-6 + 2x) = 6(4 + -1x)
(-6 * 6 + 2x * 6) = 6(4 + -1x)
(-36 + 12x) = 6(4 + -1x)
-36 + 12x = (4 * 6 + -1x * 6)
-36 + 12x = (24 + -6x)

Solving
-36 + 12x = 24 + -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.
-36 + 12x + 6x = 24 + -6x + 6x

Combine like terms: 12x + 6x = 18x
-36 + 18x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
-36 + 18x = 24 + 0
-36 + 18x = 24

Add '36' to each side of the equation.
-36 + 36 + 18x = 24 + 36

Combine like terms: -36 + 36 = 0
0 + 18x = 24 + 36
18x = 24 + 36

Combine like terms: 24 + 36 = 60
18x = 60

Divide each side by '18'.
x = 3.333333333

Simplifying
x = 3.333333333

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