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 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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