2(u+3)=3(1-u)

Solution for 2(u+3)=3(1-u) equation:

Simplifying
2(u + 3) = 3(1 + -1u)

Reorder the terms:
2(3 + u) = 3(1 + -1u)
(3 * 2 + u * 2) = 3(1 + -1u)
(6 + 2u) = 3(1 + -1u)
6 + 2u = (1 * 3 + -1u * 3)
6 + 2u = (3 + -3u)

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

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

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

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

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

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

Divide each side by '5'.
u = -0.6

Simplifying
u = -0.6