.5r+6=3-2r

Solution for .5r+6=3-2r equation:

Simplifying
0.5r + 6 = 3 + -2r

Reorder the terms:
6 + 0.5r = 3 + -2r

Solving
6 + 0.5r = 3 + -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 + 0.5r + 2r = 3 + -2r + 2r

Combine like terms: 0.5r + 2r = 2.5r
6 + 2.5r = 3 + -2r + 2r

Combine like terms: -2r + 2r = 0
6 + 2.5r = 3 + 0
6 + 2.5r = 3

Add '-6' to each side of the equation.
6 + -6 + 2.5r = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 2.5r = 3 + -6
2.5r = 3 + -6

Combine like terms: 3 + -6 = -3
2.5r = -3

Divide each side by '2.5'.
r = -1.2

Simplifying
r = -1.2