5r+6=r-6

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

Simplifying
5r + 6 = r + -6

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

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

Solving
6 + 5r = -6 + r

Solving for variable 'r'.

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

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

Combine like terms: 5r + -1r = 4r
6 + 4r = -6 + r + -1r

Combine like terms: r + -1r = 0
6 + 4r = -6 + 0
6 + 4r = -6

Add '-6' to each side of the equation.
6 + -6 + 4r = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 4r = -6 + -6
4r = -6 + -6

Combine like terms: -6 + -6 = -12
4r = -12

Divide each side by '4'.
r = -3

Simplifying
r = -3