0.4r-1.3=0.3r+0.6

Solution for 0.4r-1.3=0.3r+0.6 equation:

Simplifying
0.4r + -1.3 = 0.3r + 0.6

Reorder the terms:
-1.3 + 0.4r = 0.3r + 0.6

Reorder the terms:
-1.3 + 0.4r = 0.6 + 0.3r

Solving
-1.3 + 0.4r = 0.6 + 0.3r

Solving for variable 'r'.

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

Add '-0.3r' to each side of the equation.
-1.3 + 0.4r + -0.3r = 0.6 + 0.3r + -0.3r

Combine like terms: 0.4r + -0.3r = 0.1r
-1.3 + 0.1r = 0.6 + 0.3r + -0.3r

Combine like terms: 0.3r + -0.3r = 0.0
-1.3 + 0.1r = 0.6 + 0.0
-1.3 + 0.1r = 0.6

Add '1.3' to each side of the equation.
-1.3 + 1.3 + 0.1r = 0.6 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + 0.1r = 0.6 + 1.3
0.1r = 0.6 + 1.3

Combine like terms: 0.6 + 1.3 = 1.9
0.1r = 1.9

Divide each side by '0.1'.
r = 19

Simplifying
r = 19