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

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

Simplifying
3(2 + u) + -2 = 4 + 2(u + 1)
(2 * 3 + u * 3) + -2 = 4 + 2(u + 1)
(6 + 3u) + -2 = 4 + 2(u + 1)

Reorder the terms:
6 + -2 + 3u = 4 + 2(u + 1)

Combine like terms: 6 + -2 = 4
4 + 3u = 4 + 2(u + 1)

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

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

Solving
4 + 3u = 6 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
4 + 3u + -2u = 6 + 2u + -2u

Combine like terms: 3u + -2u = 1u
4 + 1u = 6 + 2u + -2u

Combine like terms: 2u + -2u = 0
4 + 1u = 6 + 0
4 + 1u = 6

Add '-4' to each side of the equation.
4 + -4 + 1u = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 1u = 6 + -4
1u = 6 + -4

Combine like terms: 6 + -4 = 2
1u = 2

Divide each side by '1'.
u = 2

Simplifying
u = 2