4r=2(5r-3)

Solution for 4r=2(5r-3) equation:

Simplifying
4r = 2(5r + -3)

Reorder the terms:
4r = 2(-3 + 5r)
4r = (-3 * 2 + 5r * 2)
4r = (-6 + 10r)

Solving
4r = -6 + 10r

Solving for variable 'r'.

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

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

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

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

Divide each side by '-6'.
r = 1

Simplifying
r = 1