0.3(4-2r)=0.2(2-r)

Solution for 0.3(4-2r)=0.2(2-r) equation:

Simplifying
0.3(4 + -2r) = 0.2(2 + -1r)
(4 * 0.3 + -2r * 0.3) = 0.2(2 + -1r)
(1.2 + -0.6r) = 0.2(2 + -1r)
1.2 + -0.6r = (2 * 0.2 + -1r * 0.2)
1.2 + -0.6r = (0.4 + -0.2r)

Solving
1.2 + -0.6r = 0.4 + -0.2r

Solving for variable 'r'.

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

Add '0.2r' to each side of the equation.
1.2 + -0.6r + 0.2r = 0.4 + -0.2r + 0.2r

Combine like terms: -0.6r + 0.2r = -0.4r
1.2 + -0.4r = 0.4 + -0.2r + 0.2r

Combine like terms: -0.2r + 0.2r = 0.0
1.2 + -0.4r = 0.4 + 0.0
1.2 + -0.4r = 0.4

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -0.4r = 0.4 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.4r = 0.4 + -1.2
-0.4r = 0.4 + -1.2

Combine like terms: 0.4 + -1.2 = -0.8
-0.4r = -0.8

Divide each side by '-0.4'.
r = 2

Simplifying
r = 2