3(1-r)+5r=2(r+1)

Solution for 3(1-r)+5r=2(r+1) equation:

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

Combine like terms: -3r + 5r = 2r
3 + 2r = 2(r + 1)

Reorder the terms:
3 + 2r = 2(1 + r)
3 + 2r = (1 * 2 + r * 2)
3 + 2r = (2 + 2r)

Add '-2r' to each side of the equation.
3 + 2r + -2r = 2 + 2r + -2r

Combine like terms: 2r + -2r = 0
3 + 0 = 2 + 2r + -2r
3 = 2 + 2r + -2r

Combine like terms: 2r + -2r = 0
3 = 2 + 0
3 = 2

Solving
3 = 2

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.