5u+22=3(u+2)

Solution for 5u+22=3(u+2) equation:

Simplifying
5u + 22 = 3(u + 2)

Reorder the terms:
22 + 5u = 3(u + 2)

Reorder the terms:
22 + 5u = 3(2 + u)
22 + 5u = (2 * 3 + u * 3)
22 + 5u = (6 + 3u)

Solving
22 + 5u = 6 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
22 + 5u + -3u = 6 + 3u + -3u

Combine like terms: 5u + -3u = 2u
22 + 2u = 6 + 3u + -3u

Combine like terms: 3u + -3u = 0
22 + 2u = 6 + 0
22 + 2u = 6

Add '-22' to each side of the equation.
22 + -22 + 2u = 6 + -22

Combine like terms: 22 + -22 = 0
0 + 2u = 6 + -22
2u = 6 + -22

Combine like terms: 6 + -22 = -16
2u = -16

Divide each side by '2'.
u = -8

Simplifying
u = -8