-6(x-22)+4(3-6x)=-36

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Solution for -6(x-22)+4(3-6x)=-36 equation:


Simplifying
-6(x + -22) + 4(3 + -6x) = -36

Reorder the terms:
-6(-22 + x) + 4(3 + -6x) = -36
(-22 * -6 + x * -6) + 4(3 + -6x) = -36
(132 + -6x) + 4(3 + -6x) = -36
132 + -6x + (3 * 4 + -6x * 4) = -36
132 + -6x + (12 + -24x) = -36

Reorder the terms:
132 + 12 + -6x + -24x = -36

Combine like terms: 132 + 12 = 144
144 + -6x + -24x = -36

Combine like terms: -6x + -24x = -30x
144 + -30x = -36

Solving
144 + -30x = -36

Solving for variable 'x'.

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

Add '-144' to each side of the equation.
144 + -144 + -30x = -36 + -144

Combine like terms: 144 + -144 = 0
0 + -30x = -36 + -144
-30x = -36 + -144

Combine like terms: -36 + -144 = -180
-30x = -180

Divide each side by '-30'.
x = 6

Simplifying
x = 6

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