3r+2=2r-6

Solution for 3r+2=2r-6 equation:

Simplifying
3r + 2 = 2r + -6

Reorder the terms:
2 + 3r = 2r + -6

Reorder the terms:
2 + 3r = -6 + 2r

Solving
2 + 3r = -6 + 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.
2 + 3r + -2r = -6 + 2r + -2r

Combine like terms: 3r + -2r = 1r
2 + 1r = -6 + 2r + -2r

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

Add '-2' to each side of the equation.
2 + -2 + 1r = -6 + -2

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

Combine like terms: -6 + -2 = -8
1r = -8

Divide each side by '1'.
r = -8

Simplifying
r = -8