[2s-3(s-2r)]+[4(s+r)-8s]=

Solution for [2s-3(s-2r)]+[4(s+r)-8s]= equation:

Simplifying
[2s + -3(s + -2r)] + [4(s + r) + -8s] = 0

Reorder the terms:
[2s + -3(-2r + s)] + [4(s + r) + -8s] = 0
[2s + (-2r * -3 + s * -3)] + [4(s + r) + -8s] = 0
[2s + (6r + -3s)] + [4(s + r) + -8s] = 0

Reorder the terms:
[6r + 2s + -3s] + [4(s + r) + -8s] = 0

Combine like terms: 2s + -3s = -1s
[6r + -1s] + [4(s + r) + -8s] = 0

Remove brackets around [6r + -1s]
6r + -1s + [4(s + r) + -8s] = 0

Reorder the terms:
6r + -1s + [4(r + s) + -8s] = 0
6r + -1s + [(r * 4 + s * 4) + -8s] = 0
6r + -1s + [(4r + 4s) + -8s] = 0

Combine like terms: 4s + -8s = -4s
6r + -1s + [4r + -4s] = 0

Remove brackets around [4r + -4s]
6r + -1s + 4r + -4s = 0

Reorder the terms:
6r + 4r + -1s + -4s = 0

Combine like terms: 6r + 4r = 10r
10r + -1s + -4s = 0

Combine like terms: -1s + -4s = -5s
10r + -5s = 0

Solving
10r + -5s = 0

Solving for variable 'r'.

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

Add '5s' to each side of the equation.
10r + -5s + 5s = 0 + 5s

Combine like terms: -5s + 5s = 0
10r + 0 = 0 + 5s
10r = 0 + 5s
Remove the zero:
10r = 5s

Divide each side by '10'.
r = 0.5s

Simplifying
r = 0.5s