3(1-r)+5r=4(r+1)+5

Solution for 3(1-r)+5r=4(r+1)+5 equation:

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

Combine like terms: -3r + 5r = 2r
3 + 2r = 4(r + 1) + 5

Reorder the terms:
3 + 2r = 4(1 + r) + 5
3 + 2r = (1 * 4 + r * 4) + 5
3 + 2r = (4 + 4r) + 5

Reorder the terms:
3 + 2r = 4 + 5 + 4r

Combine like terms: 4 + 5 = 9
3 + 2r = 9 + 4r

Solving
3 + 2r = 9 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
3 + 2r + -4r = 9 + 4r + -4r

Combine like terms: 2r + -4r = -2r
3 + -2r = 9 + 4r + -4r

Combine like terms: 4r + -4r = 0
3 + -2r = 9 + 0
3 + -2r = 9

Add '-3' to each side of the equation.
3 + -3 + -2r = 9 + -3

Combine like terms: 3 + -3 = 0
0 + -2r = 9 + -3
-2r = 9 + -3

Combine like terms: 9 + -3 = 6
-2r = 6

Divide each side by '-2'.
r = -3

Simplifying
r = -3