3Q-2(1-Q)=-2Q+5(1-Q)

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Solution for 3Q-2(1-Q)=-2Q+5(1-Q) equation: 


Simplifying
3Q + -2(1 + -1Q) = -2Q + 5(1 + -1Q)
3Q + (1 * -2 + -1Q * -2) = -2Q + 5(1 + -1Q)
3Q + (-2 + 2Q) = -2Q + 5(1 + -1Q)

Reorder the terms:
-2 + 3Q + 2Q = -2Q + 5(1 + -1Q)

Combine like terms: 3Q + 2Q = 5Q
-2 + 5Q = -2Q + 5(1 + -1Q)
-2 + 5Q = -2Q + (1 * 5 + -1Q * 5)
-2 + 5Q = -2Q + (5 + -5Q)

Reorder the terms:
-2 + 5Q = 5 + -2Q + -5Q

Combine like terms: -2Q + -5Q = -7Q
-2 + 5Q = 5 + -7Q

Solving
-2 + 5Q = 5 + -7Q

Solving for variable 'Q'.

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

Add '7Q' to each side of the equation.
-2 + 5Q + 7Q = 5 + -7Q + 7Q

Combine like terms: 5Q + 7Q = 12Q
-2 + 12Q = 5 + -7Q + 7Q

Combine like terms: -7Q + 7Q = 0
-2 + 12Q = 5 + 0
-2 + 12Q = 5

Add '2' to each side of the equation.
-2 + 2 + 12Q = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 12Q = 5 + 2
12Q = 5 + 2

Combine like terms: 5 + 2 = 7
12Q = 7

Divide each side by '12'.
Q = 0.5833333333

Simplifying
Q = 0.5833333333

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