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

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

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

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

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

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

Solving
-1 + 2u = 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.
-1 + 2u + 3u = 4 + -3u + 3u

Combine like terms: 2u + 3u = 5u
-1 + 5u = 4 + -3u + 3u

Combine like terms: -3u + 3u = 0
-1 + 5u = 4 + 0
-1 + 5u = 4

Add '1' to each side of the equation.
-1 + 1 + 5u = 4 + 1

Combine like terms: -1 + 1 = 0
0 + 5u = 4 + 1
5u = 4 + 1

Combine like terms: 4 + 1 = 5
5u = 5

Divide each side by '5'.
u = 1

Simplifying
u = 1