5r+6=2r-15

Solution for 5r+6=2r-15 equation:

Simplifying
5r + 6 = 2r + -15

Reorder the terms:
6 + 5r = 2r + -15

Reorder the terms:
6 + 5r = -15 + 2r

Solving
6 + 5r = -15 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
6 + 5r + -2r = -15 + 2r + -2r

Combine like terms: 5r + -2r = 3r
6 + 3r = -15 + 2r + -2r

Combine like terms: 2r + -2r = 0
6 + 3r = -15 + 0
6 + 3r = -15

Add '-6' to each side of the equation.
6 + -6 + 3r = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 3r = -15 + -6
3r = -15 + -6

Combine like terms: -15 + -6 = -21
3r = -21

Divide each side by '3'.
r = -7

Simplifying
r = -7