19=2(u-3)+3u

Solution for 19=2(u-3)+3u equation:

Simplifying
19 = 2(u + -3) + 3u

Reorder the terms:
19 = 2(-3 + u) + 3u
19 = (-3 * 2 + u * 2) + 3u
19 = (-6 + 2u) + 3u

Combine like terms: 2u + 3u = 5u
19 = -6 + 5u

Solving
19 = -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.
19 + -5u = -6 + 5u + -5u

Combine like terms: 5u + -5u = 0
19 + -5u = -6 + 0
19 + -5u = -6

Add '-19' to each side of the equation.
19 + -19 + -5u = -6 + -19

Combine like terms: 19 + -19 = 0
0 + -5u = -6 + -19
-5u = -6 + -19

Combine like terms: -6 + -19 = -25
-5u = -25

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

Simplifying
u = 5