2(8-q)+5q=5(q+5)+1

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Solution for 2(8-q)+5q=5(q+5)+1 equation: 


Simplifying
2(8 + -1q) + 5q = 5(q + 5) + 1
(8 * 2 + -1q * 2) + 5q = 5(q + 5) + 1
(16 + -2q) + 5q = 5(q + 5) + 1

Combine like terms: -2q + 5q = 3q
16 + 3q = 5(q + 5) + 1

Reorder the terms:
16 + 3q = 5(5 + q) + 1
16 + 3q = (5 * 5 + q * 5) + 1
16 + 3q = (25 + 5q) + 1

Reorder the terms:
16 + 3q = 25 + 1 + 5q

Combine like terms: 25 + 1 = 26
16 + 3q = 26 + 5q

Solving
16 + 3q = 26 + 5q

Solving for variable 'q'.

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

Add '-5q' to each side of the equation.
16 + 3q + -5q = 26 + 5q + -5q

Combine like terms: 3q + -5q = -2q
16 + -2q = 26 + 5q + -5q

Combine like terms: 5q + -5q = 0
16 + -2q = 26 + 0
16 + -2q = 26

Add '-16' to each side of the equation.
16 + -16 + -2q = 26 + -16

Combine like terms: 16 + -16 = 0
0 + -2q = 26 + -16
-2q = 26 + -16

Combine like terms: 26 + -16 = 10
-2q = 10

Divide each side by '-2'.
q = -5

Simplifying
q = -5

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