2(x+2)-6(3x+4)=12

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Solution for 2(x+2)-6(3x+4)=12 equation: 


Simplifying
2(x + 2) + -6(3x + 4) = 12

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

Reorder the terms:
4 + 2x + -6(4 + 3x) = 12
4 + 2x + (4 * -6 + 3x * -6) = 12
4 + 2x + (-24 + -18x) = 12

Reorder the terms:
4 + -24 + 2x + -18x = 12

Combine like terms: 4 + -24 = -20
-20 + 2x + -18x = 12

Combine like terms: 2x + -18x = -16x
-20 + -16x = 12

Solving
-20 + -16x = 12

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + -16x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + -16x = 12 + 20
-16x = 12 + 20

Combine like terms: 12 + 20 = 32
-16x = 32

Divide each side by '-16'.
x = -2

Simplifying
x = -2

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