3(2+u)-4u=u+16

Solution for 3(2+u)-4u=u+16 equation:

Simplifying
3(2 + u) + -4u = u + 16
(2 * 3 + u * 3) + -4u = u + 16
(6 + 3u) + -4u = u + 16

Combine like terms: 3u + -4u = -1u
6 + -1u = u + 16

Reorder the terms:
6 + -1u = 16 + u

Solving
6 + -1u = 16 + u

Solving for variable 'u'.

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

Add '-1u' to each side of the equation.
6 + -1u + -1u = 16 + u + -1u

Combine like terms: -1u + -1u = -2u
6 + -2u = 16 + u + -1u

Combine like terms: u + -1u = 0
6 + -2u = 16 + 0
6 + -2u = 16

Add '-6' to each side of the equation.
6 + -6 + -2u = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2u = 16 + -6
-2u = 16 + -6

Combine like terms: 16 + -6 = 10
-2u = 10

Divide each side by '-2'.
u = -5

Simplifying
u = -5