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

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

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

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

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

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

Solving
6 + 5u = -19

Solving for variable 'u'.

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

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

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

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

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

Simplifying
u = -5