1.5(1+3r)=0.6(2-3r)

Solution for 1.5(1+3r)=0.6(2-3r) equation:

Simplifying
1.5(1 + 3r) = 0.6(2 + -3r)
(1 * 1.5 + 3r * 1.5) = 0.6(2 + -3r)
(1.5 + 4.5r) = 0.6(2 + -3r)
1.5 + 4.5r = (2 * 0.6 + -3r * 0.6)
1.5 + 4.5r = (1.2 + -1.8r)

Solving
1.5 + 4.5r = 1.2 + -1.8r

Solving for variable 'r'.

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

Add '1.8r' to each side of the equation.
1.5 + 4.5r + 1.8r = 1.2 + -1.8r + 1.8r

Combine like terms: 4.5r + 1.8r = 6.3r
1.5 + 6.3r = 1.2 + -1.8r + 1.8r

Combine like terms: -1.8r + 1.8r = 0.0
1.5 + 6.3r = 1.2 + 0.0
1.5 + 6.3r = 1.2

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 6.3r = 1.2 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 6.3r = 1.2 + -1.5
6.3r = 1.2 + -1.5

Combine like terms: 1.2 + -1.5 = -0.3
6.3r = -0.3

Divide each side by '6.3'.
r = -0.04761904762

Simplifying
r = -0.04761904762