2(r+5)-4=3(r+1)-[2(3-2r)-3(3-r)]

Solution for 2(r+5)-4=3(r+1)-[2(3-2r)-3(3-r)] equation:

Simplifying
2(r + 5) + -4 = 3(r + 1) + -1[2(3 + -2r) + -3(3 + -1r)]

Reorder the terms:
2(5 + r) + -4 = 3(r + 1) + -1[2(3 + -2r) + -3(3 + -1r)]
(5 * 2 + r * 2) + -4 = 3(r + 1) + -1[2(3 + -2r) + -3(3 + -1r)]
(10 + 2r) + -4 = 3(r + 1) + -1[2(3 + -2r) + -3(3 + -1r)]

Reorder the terms:
10 + -4 + 2r = 3(r + 1) + -1[2(3 + -2r) + -3(3 + -1r)]

Combine like terms: 10 + -4 = 6
6 + 2r = 3(r + 1) + -1[2(3 + -2r) + -3(3 + -1r)]

Reorder the terms:
6 + 2r = 3(1 + r) + -1[2(3 + -2r) + -3(3 + -1r)]
6 + 2r = (1 * 3 + r * 3) + -1[2(3 + -2r) + -3(3 + -1r)]
6 + 2r = (3 + 3r) + -1[2(3 + -2r) + -3(3 + -1r)]
6 + 2r = 3 + 3r + -1[(3 * 2 + -2r * 2) + -3(3 + -1r)]
6 + 2r = 3 + 3r + -1[(6 + -4r) + -3(3 + -1r)]
6 + 2r = 3 + 3r + -1[6 + -4r + (3 * -3 + -1r * -3)]
6 + 2r = 3 + 3r + -1[6 + -4r + (-9 + 3r)]

Reorder the terms:
6 + 2r = 3 + 3r + -1[6 + -9 + -4r + 3r]

Combine like terms: 6 + -9 = -3
6 + 2r = 3 + 3r + -1[-3 + -4r + 3r]

Combine like terms: -4r + 3r = -1r
6 + 2r = 3 + 3r + -1[-3 + -1r]
6 + 2r = 3 + 3r + [-3 * -1 + -1r * -1]
6 + 2r = 3 + 3r + [3 + 1r]

Reorder the terms:
6 + 2r = 3 + 3 + 3r + 1r

Combine like terms: 3 + 3 = 6
6 + 2r = 6 + 3r + 1r

Combine like terms: 3r + 1r = 4r
6 + 2r = 6 + 4r

Add '-6' to each side of the equation.
6 + -6 + 2r = 6 + -6 + 4r

Combine like terms: 6 + -6 = 0
0 + 2r = 6 + -6 + 4r
2r = 6 + -6 + 4r

Combine like terms: 6 + -6 = 0
2r = 0 + 4r
2r = 4r

Solving
2r = 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.
2r + -4r = 4r + -4r

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

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

Divide each side by '-2'.
r = 0

Simplifying
r = 0