5r-1=3r+3

Solution for 5r-1=3r+3 equation:

Simplifying
5r + -1 = 3r + 3

Reorder the terms:
-1 + 5r = 3r + 3

Reorder the terms:
-1 + 5r = 3 + 3r

Solving
-1 + 5r = 3 + 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 + 5r + -3r = 3 + 3r + -3r

Combine like terms: 5r + -3r = 2r
-1 + 2r = 3 + 3r + -3r

Combine like terms: 3r + -3r = 0
-1 + 2r = 3 + 0
-1 + 2r = 3

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

Combine like terms: -1 + 1 = 0
0 + 2r = 3 + 1
2r = 3 + 1

Combine like terms: 3 + 1 = 4
2r = 4

Divide each side by '2'.
r = 2

Simplifying
r = 2