2(r+3)=5r-3

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

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

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

Reorder the terms:
6 + 2r = -3 + 5r

Solving
6 + 2r = -3 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
6 + 2r + -5r = -3 + 5r + -5r

Combine like terms: 2r + -5r = -3r
6 + -3r = -3 + 5r + -5r

Combine like terms: 5r + -5r = 0
6 + -3r = -3 + 0
6 + -3r = -3

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

Combine like terms: 6 + -6 = 0
0 + -3r = -3 + -6
-3r = -3 + -6

Combine like terms: -3 + -6 = -9
-3r = -9

Divide each side by '-3'.
r = 3

Simplifying
r = 3