17r-12r-5r+3r-2r+2=19

Solution for 17r-12r-5r+3r-2r+2=19 equation:

Simplifying
17r + -12r + -5r + 3r + -2r + 2 = 19

Reorder the terms:
2 + 17r + -12r + -5r + 3r + -2r = 19

Combine like terms: 17r + -12r = 5r
2 + 5r + -5r + 3r + -2r = 19

Combine like terms: 5r + -5r = 0
2 + 0 + 3r + -2r = 19
2 + 3r + -2r = 19

Combine like terms: 3r + -2r = 1r
2 + 1r = 19

Solving
2 + 1r = 19

Solving for variable 'r'.

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

Add '-2' to each side of the equation.
2 + -2 + 1r = 19 + -2

Combine like terms: 2 + -2 = 0
0 + 1r = 19 + -2
1r = 19 + -2

Combine like terms: 19 + -2 = 17
1r = 17

Divide each side by '1'.
r = 17

Simplifying
r = 17