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

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


Simplifying
3(x + -6) + 6 = 3x + -6(6 + -1x)

Reorder the terms:
3(-6 + x) + 6 = 3x + -6(6 + -1x)
(-6 * 3 + x * 3) + 6 = 3x + -6(6 + -1x)
(-18 + 3x) + 6 = 3x + -6(6 + -1x)

Reorder the terms:
-18 + 6 + 3x = 3x + -6(6 + -1x)

Combine like terms: -18 + 6 = -12
-12 + 3x = 3x + -6(6 + -1x)
-12 + 3x = 3x + (6 * -6 + -1x * -6)
-12 + 3x = 3x + (-36 + 6x)

Reorder the terms:
-12 + 3x = -36 + 3x + 6x

Combine like terms: 3x + 6x = 9x
-12 + 3x = -36 + 9x

Solving
-12 + 3x = -36 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-12 + 3x + -9x = -36 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-12 + -6x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
-12 + -6x = -36 + 0
-12 + -6x = -36

Add '12' to each side of the equation.
-12 + 12 + -6x = -36 + 12

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

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

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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