6(x-6)=36-2x

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Solution for 6(x-6)=36-2x equation:


Simplifying
6(x + -6) = 36 + -2x

Reorder the terms:
6(-6 + x) = 36 + -2x
(-6 * 6 + x * 6) = 36 + -2x
(-36 + 6x) = 36 + -2x

Solving
-36 + 6x = 36 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-36 + 6x + 2x = 36 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-36 + 8x = 36 + -2x + 2x

Combine like terms: -2x + 2x = 0
-36 + 8x = 36 + 0
-36 + 8x = 36

Add '36' to each side of the equation.
-36 + 36 + 8x = 36 + 36

Combine like terms: -36 + 36 = 0
0 + 8x = 36 + 36
8x = 36 + 36

Combine like terms: 36 + 36 = 72
8x = 72

Divide each side by '8'.
x = 9

Simplifying
x = 9

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