16=2(u+3)+3u

Solution for 16=2(u+3)+3u equation:

Simplifying
16 = 2(u + 3) + 3u

Reorder the terms:
16 = 2(3 + u) + 3u
16 = (3 * 2 + u * 2) + 3u
16 = (6 + 2u) + 3u

Combine like terms: 2u + 3u = 5u
16 = 6 + 5u

Solving
16 = 6 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
16 + -5u = 6 + 5u + -5u

Combine like terms: 5u + -5u = 0
16 + -5u = 6 + 0
16 + -5u = 6

Add '-16' to each side of the equation.
16 + -16 + -5u = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -5u = 6 + -16
-5u = 6 + -16

Combine like terms: 6 + -16 = -10
-5u = -10

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

Simplifying
u = 2