3r+6=17r+13

Solution for 3r+6=17r+13 equation:

Simplifying
3r + 6 = 17r + 13

Reorder the terms:
6 + 3r = 17r + 13

Reorder the terms:
6 + 3r = 13 + 17r

Solving
6 + 3r = 13 + 17r

Solving for variable 'r'.

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

Add '-17r' to each side of the equation.
6 + 3r + -17r = 13 + 17r + -17r

Combine like terms: 3r + -17r = -14r
6 + -14r = 13 + 17r + -17r

Combine like terms: 17r + -17r = 0
6 + -14r = 13 + 0
6 + -14r = 13

Add '-6' to each side of the equation.
6 + -6 + -14r = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -14r = 13 + -6
-14r = 13 + -6

Combine like terms: 13 + -6 = 7
-14r = 7

Divide each side by '-14'.
r = -0.5

Simplifying
r = -0.5