5u-3=2u+6

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

Simplifying
5u + -3 = 2u + 6

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

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

Solving
-3 + 5u = 6 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
-3 + 5u + -2u = 6 + 2u + -2u

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

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

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

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

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

Divide each side by '3'.
u = 3

Simplifying
u = 3