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

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


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

Reorder the terms:
2(-8 + q) = 5(q + 1)
(-8 * 2 + q * 2) = 5(q + 1)
(-16 + 2q) = 5(q + 1)

Reorder the terms:
-16 + 2q = 5(1 + q)
-16 + 2q = (1 * 5 + q * 5)
-16 + 2q = (5 + 5q)

Solving
-16 + 2q = 5 + 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 + 2q + -5q = 5 + 5q + -5q

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

Combine like terms: 5q + -5q = 0
-16 + -3q = 5 + 0
-16 + -3q = 5

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

Combine like terms: -16 + 16 = 0
0 + -3q = 5 + 16
-3q = 5 + 16

Combine like terms: 5 + 16 = 21
-3q = 21

Divide each side by '-3'.
q = -7

Simplifying
q = -7

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