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

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


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

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

Combine like terms: -2x + -6x = -8x
-12 + -8x = 4(x + 3)

Reorder the terms:
-12 + -8x = 4(3 + x)
-12 + -8x = (3 * 4 + x * 4)
-12 + -8x = (12 + 4x)

Solving
-12 + -8x = 12 + 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.
-12 + -8x + -4x = 12 + 4x + -4x

Combine like terms: -8x + -4x = -12x
-12 + -12x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -12x = 12 + 0
-12 + -12x = 12

Add '12' to each side of the equation.
-12 + 12 + -12x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -12x = 12 + 12
-12x = 12 + 12

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

Divide each side by '-12'.
x = -2

Simplifying
x = -2

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