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

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


Simplifying
-6(x + -2) + 4(3 + -1x) = -36

Reorder the terms:
-6(-2 + x) + 4(3 + -1x) = -36
(-2 * -6 + x * -6) + 4(3 + -1x) = -36
(12 + -6x) + 4(3 + -1x) = -36
12 + -6x + (3 * 4 + -1x * 4) = -36
12 + -6x + (12 + -4x) = -36

Reorder the terms:
12 + 12 + -6x + -4x = -36

Combine like terms: 12 + 12 = 24
24 + -6x + -4x = -36

Combine like terms: -6x + -4x = -10x
24 + -10x = -36

Solving
24 + -10x = -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 + -24 + -10x = -36 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = -36 + -24
-10x = -36 + -24

Combine like terms: -36 + -24 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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