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

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

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

Reorder the terms:
3(1 + r) + -2(3 + -2r) + -3(3 + -1r) = 2(r + 5) + -4
(1 * 3 + r * 3) + -2(3 + -2r) + -3(3 + -1r) = 2(r + 5) + -4
(3 + 3r) + -2(3 + -2r) + -3(3 + -1r) = 2(r + 5) + -4
3 + 3r + (3 * -2 + -2r * -2) + -3(3 + -1r) = 2(r + 5) + -4
3 + 3r + (-6 + 4r) + -3(3 + -1r) = 2(r + 5) + -4
3 + 3r + -6 + 4r + (3 * -3 + -1r * -3) = 2(r + 5) + -4
3 + 3r + -6 + 4r + (-9 + 3r) = 2(r + 5) + -4

Reorder the terms:
3 + -6 + -9 + 3r + 4r + 3r = 2(r + 5) + -4

Combine like terms: 3 + -6 = -3
-3 + -9 + 3r + 4r + 3r = 2(r + 5) + -4

Combine like terms: -3 + -9 = -12
-12 + 3r + 4r + 3r = 2(r + 5) + -4

Combine like terms: 3r + 4r = 7r
-12 + 7r + 3r = 2(r + 5) + -4

Combine like terms: 7r + 3r = 10r
-12 + 10r = 2(r + 5) + -4

Reorder the terms:
-12 + 10r = 2(5 + r) + -4
-12 + 10r = (5 * 2 + r * 2) + -4
-12 + 10r = (10 + 2r) + -4

Reorder the terms:
-12 + 10r = 10 + -4 + 2r

Combine like terms: 10 + -4 = 6
-12 + 10r = 6 + 2r

Solving
-12 + 10r = 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.
-12 + 10r + -2r = 6 + 2r + -2r

Combine like terms: 10r + -2r = 8r
-12 + 8r = 6 + 2r + -2r

Combine like terms: 2r + -2r = 0
-12 + 8r = 6 + 0
-12 + 8r = 6

Add '12' to each side of the equation.
-12 + 12 + 8r = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 8r = 6 + 12
8r = 6 + 12

Combine like terms: 6 + 12 = 18
8r = 18

Divide each side by '8'.
r = 2.25

Simplifying
r = 2.25