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

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


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

Reorder the terms:
-6(-2 + x) + 3(3 + -6x) = -36
(-2 * -6 + x * -6) + 3(3 + -6x) = -36
(12 + -6x) + 3(3 + -6x) = -36
12 + -6x + (3 * 3 + -6x * 3) = -36
12 + -6x + (9 + -18x) = -36

Reorder the terms:
12 + 9 + -6x + -18x = -36

Combine like terms: 12 + 9 = 21
21 + -6x + -18x = -36

Combine like terms: -6x + -18x = -24x
21 + -24x = -36

Solving
21 + -24x = -36

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -24x = -36 + -21

Combine like terms: 21 + -21 = 0
0 + -24x = -36 + -21
-24x = -36 + -21

Combine like terms: -36 + -21 = -57
-24x = -57

Divide each side by '-24'.
x = 2.375

Simplifying
x = 2.375

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