3(x-4)-6(x-6)=-6

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Solution for 3(x-4)-6(x-6)=-6 equation: 


Simplifying
3(x + -4) + -6(x + -6) = -6

Reorder the terms:
3(-4 + x) + -6(x + -6) = -6
(-4 * 3 + x * 3) + -6(x + -6) = -6
(-12 + 3x) + -6(x + -6) = -6

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

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

Combine like terms: -12 + 36 = 24
24 + 3x + -6x = -6

Combine like terms: 3x + -6x = -3x
24 + -3x = -6

Solving
24 + -3x = -6

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -3x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -6 + -24
-3x = -6 + -24

Combine like terms: -6 + -24 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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