2(u+1)=-3u+42

Solution for 2(u+1)=-3u+42 equation:

Simplifying
2(u + 1) = -3u + 42

Reorder the terms:
2(1 + u) = -3u + 42
(1 * 2 + u * 2) = -3u + 42
(2 + 2u) = -3u + 42

Reorder the terms:
2 + 2u = 42 + -3u

Solving
2 + 2u = 42 + -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.
2 + 2u + 3u = 42 + -3u + 3u

Combine like terms: 2u + 3u = 5u
2 + 5u = 42 + -3u + 3u

Combine like terms: -3u + 3u = 0
2 + 5u = 42 + 0
2 + 5u = 42

Add '-2' to each side of the equation.
2 + -2 + 5u = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 5u = 42 + -2
5u = 42 + -2

Combine like terms: 42 + -2 = 40
5u = 40

Divide each side by '5'.
u = 8

Simplifying
u = 8