5r+2=r-6

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

Simplifying
5r + 2 = r + -6

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

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

Solving
2 + 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.
2 + 5r + -1r = -6 + r + -1r

Combine like terms: 5r + -1r = 4r
2 + 4r = -6 + r + -1r

Combine like terms: r + -1r = 0
2 + 4r = -6 + 0
2 + 4r = -6

Add '-2' to each side of the equation.
2 + -2 + 4r = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 4r = -6 + -2
4r = -6 + -2

Combine like terms: -6 + -2 = -8
4r = -8

Divide each side by '4'.
r = -2

Simplifying
r = -2