0.2(5-2r)=0.31(1-r)

Solution for 0.2(5-2r)=0.31(1-r) equation:

Simplifying
0.2(5 + -2r) = 0.31(1 + -1r)
(5 * 0.2 + -2r * 0.2) = 0.31(1 + -1r)
(1 + -0.4r) = 0.31(1 + -1r)
1 + -0.4r = (1 * 0.31 + -1r * 0.31)
1 + -0.4r = (0.31 + -0.31r)

Solving
1 + -0.4r = 0.31 + -0.31r

Solving for variable 'r'.

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

Add '0.31r' to each side of the equation.
1 + -0.4r + 0.31r = 0.31 + -0.31r + 0.31r

Combine like terms: -0.4r + 0.31r = -0.09r
1 + -0.09r = 0.31 + -0.31r + 0.31r

Combine like terms: -0.31r + 0.31r = 0.00
1 + -0.09r = 0.31 + 0.00
1 + -0.09r = 0.31

Add '-1' to each side of the equation.
1 + -1 + -0.09r = 0.31 + -1

Combine like terms: 1 + -1 = 0
0 + -0.09r = 0.31 + -1
-0.09r = 0.31 + -1

Combine like terms: 0.31 + -1 = -0.69
-0.09r = -0.69

Divide each side by '-0.09'.
r = 7.666666667

Simplifying
r = 7.666666667