5(q+3)+2(2q-5)=23

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Solution for 5(q+3)+2(2q-5)=23 equation: 


Simplifying
5(q + 3) + 2(2q + -5) = 23

Reorder the terms:
5(3 + q) + 2(2q + -5) = 23
(3 * 5 + q * 5) + 2(2q + -5) = 23
(15 + 5q) + 2(2q + -5) = 23

Reorder the terms:
15 + 5q + 2(-5 + 2q) = 23
15 + 5q + (-5 * 2 + 2q * 2) = 23
15 + 5q + (-10 + 4q) = 23

Reorder the terms:
15 + -10 + 5q + 4q = 23

Combine like terms: 15 + -10 = 5
5 + 5q + 4q = 23

Combine like terms: 5q + 4q = 9q
5 + 9q = 23

Solving
5 + 9q = 23

Solving for variable 'q'.

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

Add '-5' to each side of the equation.
5 + -5 + 9q = 23 + -5

Combine like terms: 5 + -5 = 0
0 + 9q = 23 + -5
9q = 23 + -5

Combine like terms: 23 + -5 = 18
9q = 18

Divide each side by '9'.
q = 2

Simplifying
q = 2

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