2r+3(5r-3)=59

Solution for 2r+3(5r-3)=59 equation:

Simplifying
2r + 3(5r + -3) = 59

Reorder the terms:
2r + 3(-3 + 5r) = 59
2r + (-3 * 3 + 5r * 3) = 59
2r + (-9 + 15r) = 59

Reorder the terms:
-9 + 2r + 15r = 59

Combine like terms: 2r + 15r = 17r
-9 + 17r = 59

Solving
-9 + 17r = 59

Solving for variable 'r'.

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

Add '9' to each side of the equation.
-9 + 9 + 17r = 59 + 9

Combine like terms: -9 + 9 = 0
0 + 17r = 59 + 9
17r = 59 + 9

Combine like terms: 59 + 9 = 68
17r = 68

Divide each side by '17'.
r = 4

Simplifying
r = 4