.2(5-2r)=.3(1-r)

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

Simplifying
0.2(5 + -2r) = 0.3(1 + -1r)
(5 * 0.2 + -2r * 0.2) = 0.3(1 + -1r)
(1 + -0.4r) = 0.3(1 + -1r)
1 + -0.4r = (1 * 0.3 + -1r * 0.3)
1 + -0.4r = (0.3 + -0.3r)

Solving
1 + -0.4r = 0.3 + -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 + -0.4r + 0.3r = 0.3 + -0.3r + 0.3r

Combine like terms: -0.4r + 0.3r = -0.1r
1 + -0.1r = 0.3 + -0.3r + 0.3r

Combine like terms: -0.3r + 0.3r = 0.0
1 + -0.1r = 0.3 + 0.0
1 + -0.1r = 0.3

Add '-1' to each side of the equation.
1 + -1 + -0.1r = 0.3 + -1

Combine like terms: 1 + -1 = 0
0 + -0.1r = 0.3 + -1
-0.1r = 0.3 + -1

Combine like terms: 0.3 + -1 = -0.7
-0.1r = -0.7

Divide each side by '-0.1'.
r = 7

Simplifying
r = 7