2u-6=3u-1

Solution for 2u-6=3u-1 equation:

Simplifying
2u + -6 = 3u + -1

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

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

Solving
-6 + 2u = -1 + 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.
-6 + 2u + -3u = -1 + 3u + -3u

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

Combine like terms: 3u + -3u = 0
-6 + -1u = -1 + 0
-6 + -1u = -1

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

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

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

Divide each side by '-1'.
u = -5

Simplifying
u = -5