2(2r+1)+4=5(r+1)

Solution for 2(2r+1)+4=5(r+1) equation:

Simplifying
2(2r + 1) + 4 = 5(r + 1)

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

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

Combine like terms: 2 + 4 = 6
6 + 4r = 5(r + 1)

Reorder the terms:
6 + 4r = 5(1 + r)
6 + 4r = (1 * 5 + r * 5)
6 + 4r = (5 + 5r)

Solving
6 + 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.
6 + 4r + -5r = 5 + 5r + -5r

Combine like terms: 4r + -5r = -1r
6 + -1r = 5 + 5r + -5r

Combine like terms: 5r + -5r = 0
6 + -1r = 5 + 0
6 + -1r = 5

Add '-6' to each side of the equation.
6 + -6 + -1r = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 5 + -6
-1r = 5 + -6

Combine like terms: 5 + -6 = -1
-1r = -1

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

Simplifying
r = 1