-6(x-2)+4(3-6x)=-37

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Solution for -6(x-2)+4(3-6x)=-37 equation:


Simplifying
-6(x + -2) + 4(3 + -6x) = -37

Reorder the terms:
-6(-2 + x) + 4(3 + -6x) = -37
(-2 * -6 + x * -6) + 4(3 + -6x) = -37
(12 + -6x) + 4(3 + -6x) = -37
12 + -6x + (3 * 4 + -6x * 4) = -37
12 + -6x + (12 + -24x) = -37

Reorder the terms:
12 + 12 + -6x + -24x = -37

Combine like terms: 12 + 12 = 24
24 + -6x + -24x = -37

Combine like terms: -6x + -24x = -30x
24 + -30x = -37

Solving
24 + -30x = -37

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 + -30x = -37 + -24

Combine like terms: 24 + -24 = 0
0 + -30x = -37 + -24
-30x = -37 + -24

Combine like terms: -37 + -24 = -61
-30x = -61

Divide each side by '-30'.
x = 2.033333333

Simplifying
x = 2.033333333

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