-6(x-2)+4(3-6y)=-36

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Solution for -6(x-2)+4(3-6y)=-36 equation: 


Simplifying
-6(x + -2) + 4(3 + -6y) = -36

Reorder the terms:
-6(-2 + x) + 4(3 + -6y) = -36
(-2 * -6 + x * -6) + 4(3 + -6y) = -36
(12 + -6x) + 4(3 + -6y) = -36
12 + -6x + (3 * 4 + -6y * 4) = -36
12 + -6x + (12 + -24y) = -36

Reorder the terms:
12 + 12 + -6x + -24y = -36

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

Solving
24 + -6x + -24y = -36

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 + -6x + -24 + -24y = -36 + -24

Reorder the terms:
24 + -24 + -6x + -24y = -36 + -24

Combine like terms: 24 + -24 = 0
0 + -6x + -24y = -36 + -24
-6x + -24y = -36 + -24

Combine like terms: -36 + -24 = -60
-6x + -24y = -60

Add '24y' to each side of the equation.
-6x + -24y + 24y = -60 + 24y

Combine like terms: -24y + 24y = 0
-6x + 0 = -60 + 24y
-6x = -60 + 24y

Divide each side by '-6'.
x = 10 + -4y

Simplifying
x = 10 + -4y

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