2(3r+1)=5r

Solution for 2(3r+1)=5r equation:

Simplifying
2(3r + 1) = 5r

Reorder the terms:
2(1 + 3r) = 5r
(1 * 2 + 3r * 2) = 5r
(2 + 6r) = 5r

Solving
2 + 6r = 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.
2 + 6r + -5r = 5r + -5r

Combine like terms: 6r + -5r = 1r
2 + 1r = 5r + -5r

Combine like terms: 5r + -5r = 0
2 + 1r = 0

Add '-2' to each side of the equation.
2 + -2 + 1r = 0 + -2

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

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

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

Simplifying
r = -2