5r+6=3r+14

Solution for 5r+6=3r+14 equation:

Simplifying
5r + 6 = 3r + 14

Reorder the terms:
6 + 5r = 3r + 14

Reorder the terms:
6 + 5r = 14 + 3r

Solving
6 + 5r = 14 + 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 + 5r + -3r = 14 + 3r + -3r

Combine like terms: 5r + -3r = 2r
6 + 2r = 14 + 3r + -3r

Combine like terms: 3r + -3r = 0
6 + 2r = 14 + 0
6 + 2r = 14

Add '-6' to each side of the equation.
6 + -6 + 2r = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 2r = 14 + -6
2r = 14 + -6

Combine like terms: 14 + -6 = 8
2r = 8

Divide each side by '2'.
r = 4

Simplifying
r = 4