2(9+Q)=20-2[Q+9+Q]

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Solution for 2(9+Q)=20-2[Q+9+Q] equation: 


Simplifying
2(9 + Q) = 20 + -2[Q + 9 + Q]
(9 * 2 + Q * 2) = 20 + -2[Q + 9 + Q]
(18 + 2Q) = 20 + -2[Q + 9 + Q]

Reorder the terms:
18 + 2Q = 20 + -2[9 + Q + Q]

Combine like terms: Q + Q = 2Q
18 + 2Q = 20 + -2[9 + 2Q]
18 + 2Q = 20 + [9 * -2 + 2Q * -2]
18 + 2Q = 20 + [-18 + -4Q]

Combine like terms: 20 + -18 = 2
18 + 2Q = 2 + -4Q

Solving
18 + 2Q = 2 + -4Q

Solving for variable 'Q'.

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

Add '4Q' to each side of the equation.
18 + 2Q + 4Q = 2 + -4Q + 4Q

Combine like terms: 2Q + 4Q = 6Q
18 + 6Q = 2 + -4Q + 4Q

Combine like terms: -4Q + 4Q = 0
18 + 6Q = 2 + 0
18 + 6Q = 2

Add '-18' to each side of the equation.
18 + -18 + 6Q = 2 + -18

Combine like terms: 18 + -18 = 0
0 + 6Q = 2 + -18
6Q = 2 + -18

Combine like terms: 2 + -18 = -16
6Q = -16

Divide each side by '6'.
Q = -2.666666667

Simplifying
Q = -2.666666667

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