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

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

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

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

Reorder the terms:
6 + 3r = 2(5 + r)
6 + 3r = (5 * 2 + r * 2)
6 + 3r = (10 + 2r)

Solving
6 + 3r = 10 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
6 + 3r + -2r = 10 + 2r + -2r

Combine like terms: 3r + -2r = 1r
6 + 1r = 10 + 2r + -2r

Combine like terms: 2r + -2r = 0
6 + 1r = 10 + 0
6 + 1r = 10

Add '-6' to each side of the equation.
6 + -6 + 1r = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1r = 10 + -6
1r = 10 + -6

Combine like terms: 10 + -6 = 4
1r = 4

Divide each side by '1'.
r = 4

Simplifying
r = 4