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

Solution for 4(v+1)+u=3(u-2)+2 equation:

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

Reorder the terms:
4(1 + v) + u = 3(u + -2) + 2
(1 * 4 + v * 4) + u = 3(u + -2) + 2
(4 + 4v) + u = 3(u + -2) + 2

Reorder the terms:
4 + u + 4v = 3(u + -2) + 2

Reorder the terms:
4 + u + 4v = 3(-2 + u) + 2
4 + u + 4v = (-2 * 3 + u * 3) + 2
4 + u + 4v = (-6 + 3u) + 2

Reorder the terms:
4 + u + 4v = -6 + 2 + 3u

Combine like terms: -6 + 2 = -4
4 + u + 4v = -4 + 3u

Solving
4 + u + 4v = -4 + 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.
4 + u + -3u + 4v = -4 + 3u + -3u

Combine like terms: u + -3u = -2u
4 + -2u + 4v = -4 + 3u + -3u

Combine like terms: 3u + -3u = 0
4 + -2u + 4v = -4 + 0
4 + -2u + 4v = -4

Add '-4' to each side of the equation.
4 + -2u + -4 + 4v = -4 + -4

Reorder the terms:
4 + -4 + -2u + 4v = -4 + -4

Combine like terms: 4 + -4 = 0
0 + -2u + 4v = -4 + -4
-2u + 4v = -4 + -4

Combine like terms: -4 + -4 = -8
-2u + 4v = -8

Add '-4v' to each side of the equation.
-2u + 4v + -4v = -8 + -4v

Combine like terms: 4v + -4v = 0
-2u + 0 = -8 + -4v
-2u = -8 + -4v

Divide each side by '-2'.
u = 4 + 2v

Simplifying
u = 4 + 2v