6(x-6)=60-6x

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Solution for 6(x-6)=60-6x equation:


Simplifying
6(x + -6) = 60 + -6x

Reorder the terms:
6(-6 + x) = 60 + -6x
(-6 * 6 + x * 6) = 60 + -6x
(-36 + 6x) = 60 + -6x

Solving
-36 + 6x = 60 + -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 + 6x + 6x = 60 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-36 + 12x = 60 + -6x + 6x

Combine like terms: -6x + 6x = 0
-36 + 12x = 60 + 0
-36 + 12x = 60

Add '36' to each side of the equation.
-36 + 36 + 12x = 60 + 36

Combine like terms: -36 + 36 = 0
0 + 12x = 60 + 36
12x = 60 + 36

Combine like terms: 60 + 36 = 96
12x = 96

Divide each side by '12'.
x = 8

Simplifying
x = 8

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