-3Q+2(4Q-5)=18-2Q-8

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Solution for -3Q+2(4Q-5)=18-2Q-8 equation: 


Simplifying
-3Q + 2(4Q + -5) = 18 + -2Q + -8

Reorder the terms:
-3Q + 2(-5 + 4Q) = 18 + -2Q + -8
-3Q + (-5 * 2 + 4Q * 2) = 18 + -2Q + -8
-3Q + (-10 + 8Q) = 18 + -2Q + -8

Reorder the terms:
-10 + -3Q + 8Q = 18 + -2Q + -8

Combine like terms: -3Q + 8Q = 5Q
-10 + 5Q = 18 + -2Q + -8

Reorder the terms:
-10 + 5Q = 18 + -8 + -2Q

Combine like terms: 18 + -8 = 10
-10 + 5Q = 10 + -2Q

Solving
-10 + 5Q = 10 + -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.
-10 + 5Q + 2Q = 10 + -2Q + 2Q

Combine like terms: 5Q + 2Q = 7Q
-10 + 7Q = 10 + -2Q + 2Q

Combine like terms: -2Q + 2Q = 0
-10 + 7Q = 10 + 0
-10 + 7Q = 10

Add '10' to each side of the equation.
-10 + 10 + 7Q = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 7Q = 10 + 10
7Q = 10 + 10

Combine like terms: 10 + 10 = 20
7Q = 20

Divide each side by '7'.
Q = 2.857142857

Simplifying
Q = 2.857142857

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