2u+6=5u-3

Solution for 2u+6=5u-3 equation:

Simplifying
2u + 6 = 5u + -3

Reorder the terms:
6 + 2u = 5u + -3

Reorder the terms:
6 + 2u = -3 + 5u

Solving
6 + 2u = -3 + 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.
6 + 2u + -5u = -3 + 5u + -5u

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

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

Add '-6' to each side of the equation.
6 + -6 + -3u = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -3u = -3 + -6
-3u = -3 + -6

Combine like terms: -3 + -6 = -9
-3u = -9

Divide each side by '-3'.
u = 3

Simplifying
u = 3