2r+6=5r-9

Solution for 2r+6=5r-9 equation:

Simplifying
2r + 6 = 5r + -9

Reorder the terms:
6 + 2r = 5r + -9

Reorder the terms:
6 + 2r = -9 + 5r

Solving
6 + 2r = -9 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
6 + 2r + -5r = -9 + 5r + -5r

Combine like terms: 2r + -5r = -3r
6 + -3r = -9 + 5r + -5r

Combine like terms: 5r + -5r = 0
6 + -3r = -9 + 0
6 + -3r = -9

Add '-6' to each side of the equation.
6 + -6 + -3r = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3r = -9 + -6
-3r = -9 + -6

Combine like terms: -9 + -6 = -15
-3r = -15

Divide each side by '-3'.
r = 5

Simplifying
r = 5