2r-(5-r)=13*2r

Solution for 2r-(5-r)=13*2r equation:

Simplifying
2r + -1(5 + -1r) = 13 * 2r
2r + (5 * -1 + -1r * -1) = 13 * 2r
2r + (-5 + 1r) = 13 * 2r

Reorder the terms:
-5 + 2r + 1r = 13 * 2r

Combine like terms: 2r + 1r = 3r
-5 + 3r = 13 * 2r

Multiply 13 * 2
-5 + 3r = 26r

Solving
-5 + 3r = 26r

Solving for variable 'r'.

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

Add '-26r' to each side of the equation.
-5 + 3r + -26r = 26r + -26r

Combine like terms: 3r + -26r = -23r
-5 + -23r = 26r + -26r

Combine like terms: 26r + -26r = 0
-5 + -23r = 0

Add '5' to each side of the equation.
-5 + 5 + -23r = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -23r = 0 + 5
-23r = 0 + 5

Combine like terms: 0 + 5 = 5
-23r = 5

Divide each side by '-23'.
r = -0.2173913043

Simplifying
r = -0.2173913043