6(x-2)=72-6x

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Solution for 6(x-2)=72-6x equation:


Simplifying
6(x + -2) = 72 + -6x

Reorder the terms:
6(-2 + x) = 72 + -6x
(-2 * 6 + x * 6) = 72 + -6x
(-12 + 6x) = 72 + -6x

Solving
-12 + 6x = 72 + -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 + 6x + 6x = 72 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-12 + 12x = 72 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 12x = 72 + 0
-12 + 12x = 72

Add '12' to each side of the equation.
-12 + 12 + 12x = 72 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 72 + 12
12x = 72 + 12

Combine like terms: 72 + 12 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7

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