3(x-6)-6(x-3)=x+9-(x-6)

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Solution for 3(x-6)-6(x-3)=x+9-(x-6) equation: 


Simplifying
3(x + -6) + -6(x + -3) = x + 9 + -1(x + -6)

Reorder the terms:
3(-6 + x) + -6(x + -3) = x + 9 + -1(x + -6)
(-6 * 3 + x * 3) + -6(x + -3) = x + 9 + -1(x + -6)
(-18 + 3x) + -6(x + -3) = x + 9 + -1(x + -6)

Reorder the terms:
-18 + 3x + -6(-3 + x) = x + 9 + -1(x + -6)
-18 + 3x + (-3 * -6 + x * -6) = x + 9 + -1(x + -6)
-18 + 3x + (18 + -6x) = x + 9 + -1(x + -6)

Reorder the terms:
-18 + 18 + 3x + -6x = x + 9 + -1(x + -6)

Combine like terms: -18 + 18 = 0
0 + 3x + -6x = x + 9 + -1(x + -6)
3x + -6x = x + 9 + -1(x + -6)

Combine like terms: 3x + -6x = -3x
-3x = x + 9 + -1(x + -6)

Reorder the terms:
-3x = x + 9 + -1(-6 + x)
-3x = x + 9 + (-6 * -1 + x * -1)
-3x = x + 9 + (6 + -1x)

Reorder the terms:
-3x = 9 + 6 + x + -1x

Combine like terms: 9 + 6 = 15
-3x = 15 + x + -1x

Combine like terms: x + -1x = 0
-3x = 15 + 0
-3x = 15

Solving
-3x = 15

Solving for variable 'x'.

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

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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