2r-1=3r+1

Solution for 2r-1=3r+1 equation:

Simplifying
2r + -1 = 3r + 1

Reorder the terms:
-1 + 2r = 3r + 1

Reorder the terms:
-1 + 2r = 1 + 3r

Solving
-1 + 2r = 1 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-1 + 2r + -3r = 1 + 3r + -3r

Combine like terms: 2r + -3r = -1r
-1 + -1r = 1 + 3r + -3r

Combine like terms: 3r + -3r = 0
-1 + -1r = 1 + 0
-1 + -1r = 1

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

Combine like terms: -1 + 1 = 0
0 + -1r = 1 + 1
-1r = 1 + 1

Combine like terms: 1 + 1 = 2
-1r = 2

Divide each side by '-1'.
r = -2

Simplifying
r = -2