2u-5=3(2-u)-1

Solution for 2u-5=3(2-u)-1 equation:

Simplifying
2u + -5 = 3(2 + -1u) + -1

Reorder the terms:
-5 + 2u = 3(2 + -1u) + -1
-5 + 2u = (2 * 3 + -1u * 3) + -1
-5 + 2u = (6 + -3u) + -1

Reorder the terms:
-5 + 2u = 6 + -1 + -3u

Combine like terms: 6 + -1 = 5
-5 + 2u = 5 + -3u

Solving
-5 + 2u = 5 + -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.
-5 + 2u + 3u = 5 + -3u + 3u

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

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

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

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

Combine like terms: 5 + 5 = 10
5u = 10

Divide each side by '5'.
u = 2

Simplifying
u = 2