3(x-6)-6(x-3)=x+7-(x-11)

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Solution for 3(x-6)-6(x-3)=x+7-(x-11) equation: 


Simplifying
3(x + -6) + -6(x + -3) = x + 7 + -1(x + -11)

Reorder the terms:
3(-6 + x) + -6(x + -3) = x + 7 + -1(x + -11)
(-6 * 3 + x * 3) + -6(x + -3) = x + 7 + -1(x + -11)
(-18 + 3x) + -6(x + -3) = x + 7 + -1(x + -11)

Reorder the terms:
-18 + 3x + -6(-3 + x) = x + 7 + -1(x + -11)
-18 + 3x + (-3 * -6 + x * -6) = x + 7 + -1(x + -11)
-18 + 3x + (18 + -6x) = x + 7 + -1(x + -11)

Reorder the terms:
-18 + 18 + 3x + -6x = x + 7 + -1(x + -11)

Combine like terms: -18 + 18 = 0
0 + 3x + -6x = x + 7 + -1(x + -11)
3x + -6x = x + 7 + -1(x + -11)

Combine like terms: 3x + -6x = -3x
-3x = x + 7 + -1(x + -11)

Reorder the terms:
-3x = x + 7 + -1(-11 + x)
-3x = x + 7 + (-11 * -1 + x * -1)
-3x = x + 7 + (11 + -1x)

Reorder the terms:
-3x = 7 + 11 + x + -1x

Combine like terms: 7 + 11 = 18
-3x = 18 + x + -1x

Combine like terms: x + -1x = 0
-3x = 18 + 0
-3x = 18

Solving
-3x = 18

Solving for variable 'x'.

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

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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