2(u+3)=w-5u

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

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

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

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

Solving
6 + 2u = -5u + w

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 + 2u + 5u = -5u + 5u + w

Combine like terms: 2u + 5u = 7u
6 + 7u = -5u + 5u + w

Combine like terms: -5u + 5u = 0
6 + 7u = 0 + w
6 + 7u = w

Add '-6' to each side of the equation.
6 + -6 + 7u = -6 + w

Combine like terms: 6 + -6 = 0
0 + 7u = -6 + w
7u = -6 + w

Divide each side by '7'.
u = -0.8571428571 + 0.1428571429w

Simplifying
u = -0.8571428571 + 0.1428571429w