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

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

Simplifying
2(5 + -2r) = 3(2 + -1r)
(5 * 2 + -2r * 2) = 3(2 + -1r)
(10 + -4r) = 3(2 + -1r)
10 + -4r = (2 * 3 + -1r * 3)
10 + -4r = (6 + -3r)

Solving
10 + -4r = 6 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
10 + -4r + 3r = 6 + -3r + 3r

Combine like terms: -4r + 3r = -1r
10 + -1r = 6 + -3r + 3r

Combine like terms: -3r + 3r = 0
10 + -1r = 6 + 0
10 + -1r = 6

Add '-10' to each side of the equation.
10 + -10 + -1r = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1r = 6 + -10
-1r = 6 + -10

Combine like terms: 6 + -10 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4