3x+6(x-6)=(x-6)

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Solution for 3x+6(x-6)=(x-6) equation:


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

Reorder the terms:
3x + 6(-6 + x) = (x + -6)
3x + (-6 * 6 + x * 6) = (x + -6)
3x + (-36 + 6x) = (x + -6)

Reorder the terms:
-36 + 3x + 6x = (x + -6)

Combine like terms: 3x + 6x = 9x
-36 + 9x = (x + -6)

Reorder the terms:
-36 + 9x = (-6 + x)

Remove parenthesis around (-6 + x)
-36 + 9x = -6 + x

Solving
-36 + 9x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-36 + 9x + -1x = -6 + x + -1x

Combine like terms: 9x + -1x = 8x
-36 + 8x = -6 + x + -1x

Combine like terms: x + -1x = 0
-36 + 8x = -6 + 0
-36 + 8x = -6

Add '36' to each side of the equation.
-36 + 36 + 8x = -6 + 36

Combine like terms: -36 + 36 = 0
0 + 8x = -6 + 36
8x = -6 + 36

Combine like terms: -6 + 36 = 30
8x = 30

Divide each side by '8'.
x = 3.75

Simplifying
x = 3.75

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