(2u+7)+(3u-1)=0

Solution for (2u+7)+(3u-1)=0 equation:

Simplifying
(2u + 7) + (3u + -1) = 0

Reorder the terms:
(7 + 2u) + (3u + -1) = 0

Remove parenthesis around (7 + 2u)
7 + 2u + (3u + -1) = 0

Reorder the terms:
7 + 2u + (-1 + 3u) = 0

Remove parenthesis around (-1 + 3u)
7 + 2u + -1 + 3u = 0

Reorder the terms:
7 + -1 + 2u + 3u = 0

Combine like terms: 7 + -1 = 6
6 + 2u + 3u = 0

Combine like terms: 2u + 3u = 5u
6 + 5u = 0

Solving
6 + 5u = 0

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 = 0 + -6

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

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

Divide each side by '5'.
u = -1.2

Simplifying
u = -1.2