2(r-3)+5=15

Solution for 2(r-3)+5=15 equation:

Simplifying
2(r + -3) + 5 = 15

Reorder the terms:
2(-3 + r) + 5 = 15
(-3 * 2 + r * 2) + 5 = 15
(-6 + 2r) + 5 = 15

Reorder the terms:
-6 + 5 + 2r = 15

Combine like terms: -6 + 5 = -1
-1 + 2r = 15

Solving
-1 + 2r = 15

Solving for variable 'r'.

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

Add '1' to each side of the equation.
-1 + 1 + 2r = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 2r = 15 + 1
2r = 15 + 1

Combine like terms: 15 + 1 = 16
2r = 16

Divide each side by '2'.
r = 8

Simplifying
r = 8