3(u+2)=5u+2

Solution for 3(u+2)=5u+2 equation:

Simplifying
3(u + 2) = 5u + 2

Reorder the terms:
3(2 + u) = 5u + 2
(2 * 3 + u * 3) = 5u + 2
(6 + 3u) = 5u + 2

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

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

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

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

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

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

Combine like terms: 2 + -6 = -4
-2u = -4

Divide each side by '-2'.
u = 2

Simplifying
u = 2