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

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

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

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

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

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

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

Solving
3 + 4r = 5 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
3 + 4r + -5r = 5 + 5r + -5r

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

Combine like terms: 5r + -5r = 0
3 + -1r = 5 + 0
3 + -1r = 5

Add '-3' to each side of the equation.
3 + -3 + -1r = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -1r = 5 + -3
-1r = 5 + -3

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

Divide each side by '-1'.
r = -2

Simplifying
r = -2