3(r+2)=5r+4

Solution for 3(r+2)=5r+4 equation:

Simplifying
3(r + 2) = 5r + 4

Reorder the terms:
3(2 + r) = 5r + 4
(2 * 3 + r * 3) = 5r + 4
(6 + 3r) = 5r + 4

Reorder the terms:
6 + 3r = 4 + 5r

Solving
6 + 3r = 4 + 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 + 3r + -5r = 4 + 5r + -5r

Combine like terms: 3r + -5r = -2r
6 + -2r = 4 + 5r + -5r

Combine like terms: 5r + -5r = 0
6 + -2r = 4 + 0
6 + -2r = 4

Add '-6' to each side of the equation.
6 + -6 + -2r = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = 4 + -6
-2r = 4 + -6

Combine like terms: 4 + -6 = -2
-2r = -2

Divide each side by '-2'.
r = 1

Simplifying
r = 1