0.4(2r+3)=0.6r+3.6

Solution for 0.4(2r+3)=0.6r+3.6 equation:

Simplifying
0.4(2r + 3) = 0.6r + 3.6

Reorder the terms:
0.4(3 + 2r) = 0.6r + 3.6
(3 * 0.4 + 2r * 0.4) = 0.6r + 3.6
(1.2 + 0.8r) = 0.6r + 3.6

Reorder the terms:
1.2 + 0.8r = 3.6 + 0.6r

Solving
1.2 + 0.8r = 3.6 + 0.6r

Solving for variable 'r'.

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

Add '-0.6r' to each side of the equation.
1.2 + 0.8r + -0.6r = 3.6 + 0.6r + -0.6r

Combine like terms: 0.8r + -0.6r = 0.2r
1.2 + 0.2r = 3.6 + 0.6r + -0.6r

Combine like terms: 0.6r + -0.6r = 0.0
1.2 + 0.2r = 3.6 + 0.0
1.2 + 0.2r = 3.6

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.2r = 3.6 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.2r = 3.6 + -1.2
0.2r = 3.6 + -1.2

Combine like terms: 3.6 + -1.2 = 2.4
0.2r = 2.4

Divide each side by '0.2'.
r = 12

Simplifying
r = 12