6-2r=3r+1

Solution for 6-2r=3r+1 equation:

Simplifying
6 + -2r = 3r + 1

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

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

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

Combine like terms: 3r + -3r = 0
6 + -5r = 1 + 0
6 + -5r = 1

Add '-6' to each side of the equation.
6 + -6 + -5r = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5r = 1 + -6
-5r = 1 + -6

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

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

Simplifying
r = 1