2(x+6)-4(x+2)=-14

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Solution for 2(x+6)-4(x+2)=-14 equation: 


Simplifying
2(x + 6) + -4(x + 2) = -14

Reorder the terms:
2(6 + x) + -4(x + 2) = -14
(6 * 2 + x * 2) + -4(x + 2) = -14
(12 + 2x) + -4(x + 2) = -14

Reorder the terms:
12 + 2x + -4(2 + x) = -14
12 + 2x + (2 * -4 + x * -4) = -14
12 + 2x + (-8 + -4x) = -14

Reorder the terms:
12 + -8 + 2x + -4x = -14

Combine like terms: 12 + -8 = 4
4 + 2x + -4x = -14

Combine like terms: 2x + -4x = -2x
4 + -2x = -14

Solving
4 + -2x = -14

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -2x = -14 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -14 + -4
-2x = -14 + -4

Combine like terms: -14 + -4 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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