6+13r=12r+14

Solution for 6+13r=12r+14 equation:

Simplifying
6 + 13r = 12r + 14

Reorder the terms:
6 + 13r = 14 + 12r

Solving
6 + 13r = 14 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
6 + 13r + -12r = 14 + 12r + -12r

Combine like terms: 13r + -12r = 1r
6 + 1r = 14 + 12r + -12r

Combine like terms: 12r + -12r = 0
6 + 1r = 14 + 0
6 + 1r = 14

Add '-6' to each side of the equation.
6 + -6 + 1r = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 1r = 14 + -6
1r = 14 + -6

Combine like terms: 14 + -6 = 8
1r = 8

Divide each side by '1'.
r = 8

Simplifying
r = 8