50=2(5r+2)-1

Solution for 50=2(5r+2)-1 equation:

Simplifying
50 = 2(5r + 2) + -1

Reorder the terms:
50 = 2(2 + 5r) + -1
50 = (2 * 2 + 5r * 2) + -1
50 = (4 + 10r) + -1

Reorder the terms:
50 = 4 + -1 + 10r

Combine like terms: 4 + -1 = 3
50 = 3 + 10r

Solving
50 = 3 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
50 + -10r = 3 + 10r + -10r

Combine like terms: 10r + -10r = 0
50 + -10r = 3 + 0
50 + -10r = 3

Add '-50' to each side of the equation.
50 + -50 + -10r = 3 + -50

Combine like terms: 50 + -50 = 0
0 + -10r = 3 + -50
-10r = 3 + -50

Combine like terms: 3 + -50 = -47
-10r = -47

Divide each side by '-10'.
r = 4.7

Simplifying
r = 4.7