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

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


Simplifying
20 + -2(Q + 9 + -1Q) = 2(9 + -1Q)

Reorder the terms:
20 + -2(9 + Q + -1Q) = 2(9 + -1Q)

Combine like terms: Q + -1Q = 0
20 + -2(9 + 0) = 2(9 + -1Q)
20 + -2(9) = 2(9 + -1Q)

Multiply -2 * 9
20 + -18 = 2(9 + -1Q)

Combine like terms: 20 + -18 = 2
2 = 2(9 + -1Q)
2 = (9 * 2 + -1Q * 2)
2 = (18 + -2Q)

Solving
2 = 18 + -2Q

Solving for variable 'Q'.

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

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

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

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

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

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

Divide each side by '2'.
Q = 8

Simplifying
Q = 8

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