-6(x+6)=-4(x+2)-8

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Solution for -6(x+6)=-4(x+2)-8 equation: 


Simplifying
-6(x + 6) = -4(x + 2) + -8

Reorder the terms:
-6(6 + x) = -4(x + 2) + -8
(6 * -6 + x * -6) = -4(x + 2) + -8
(-36 + -6x) = -4(x + 2) + -8

Reorder the terms:
-36 + -6x = -4(2 + x) + -8
-36 + -6x = (2 * -4 + x * -4) + -8
-36 + -6x = (-8 + -4x) + -8

Reorder the terms:
-36 + -6x = -8 + -8 + -4x

Combine like terms: -8 + -8 = -16
-36 + -6x = -16 + -4x

Solving
-36 + -6x = -16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-36 + -6x + 4x = -16 + -4x + 4x

Combine like terms: -6x + 4x = -2x
-36 + -2x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-36 + -2x = -16 + 0
-36 + -2x = -16

Add '36' to each side of the equation.
-36 + 36 + -2x = -16 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = -16 + 36
-2x = -16 + 36

Combine like terms: -16 + 36 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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