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

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

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

Reorder the terms:
3(1 + r) + -1[2(3 + -1r)] = 2(r + 5) + -4
(1 * 3 + r * 3) + -1[2(3 + -1r)] = 2(r + 5) + -4
(3 + 3r) + -1[2(3 + -1r)] = 2(r + 5) + -4
3 + 3r + -1[(3 * 2 + -1r * 2)] = 2(r + 5) + -4
3 + 3r + -1[(6 + -2r)] = 2(r + 5) + -4
3 + 3r + [6 * -1 + -2r * -1] = 2(r + 5) + -4
3 + 3r + [-6 + 2r] = 2(r + 5) + -4

Reorder the terms:
3 + -6 + 3r + 2r = 2(r + 5) + -4

Combine like terms: 3 + -6 = -3
-3 + 3r + 2r = 2(r + 5) + -4

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

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

Reorder the terms:
-3 + 5r = 10 + -4 + 2r

Combine like terms: 10 + -4 = 6
-3 + 5r = 6 + 2r

Solving
-3 + 5r = 6 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-3 + 5r + -2r = 6 + 2r + -2r

Combine like terms: 5r + -2r = 3r
-3 + 3r = 6 + 2r + -2r

Combine like terms: 2r + -2r = 0
-3 + 3r = 6 + 0
-3 + 3r = 6

Add '3' to each side of the equation.
-3 + 3 + 3r = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 3r = 6 + 3
3r = 6 + 3

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

Divide each side by '3'.
r = 3

Simplifying
r = 3