-6(x-6)=2x-20

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Solution for -6(x-6)=2x-20 equation:


Simplifying
-6(x + -6) = 2x + -20

Reorder the terms:
-6(-6 + x) = 2x + -20
(-6 * -6 + x * -6) = 2x + -20
(36 + -6x) = 2x + -20

Reorder the terms:
36 + -6x = -20 + 2x

Solving
36 + -6x = -20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
36 + -6x + -2x = -20 + 2x + -2x

Combine like terms: -6x + -2x = -8x
36 + -8x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + -8x = -20 + 0
36 + -8x = -20

Add '-36' to each side of the equation.
36 + -36 + -8x = -20 + -36

Combine like terms: 36 + -36 = 0
0 + -8x = -20 + -36
-8x = -20 + -36

Combine like terms: -20 + -36 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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