5+4[(3r+s)-(3r-s)]=

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

Simplifying
5 + 4[(3r + s) + -1(3r + -1s)] = 0

Remove parenthesis around (3r + s)
5 + 4[3r + s + -1(3r + -1s)] = 0
5 + 4[3r + s + (3r * -1 + -1s * -1)] = 0
5 + 4[3r + s + (-3r + 1s)] = 0

Reorder the terms:
5 + 4[3r + -3r + s + 1s] = 0

Combine like terms: 3r + -3r = 0
5 + 4[0 + s + 1s] = 0
5 + 4[s + 1s] = 0

Combine like terms: s + 1s = 2s
5 + 4[2s] = 0

Remove brackets around [2s]
5 + 4 * 2s = 0

Multiply 4 * 2
5 + 8s = 0

Solving
5 + 8s = 0

Solving for variable 's'.

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

Add '-5' to each side of the equation.
5 + -5 + 8s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8s = 0 + -5
8s = 0 + -5

Combine like terms: 0 + -5 = -5
8s = -5

Divide each side by '8'.
s = -0.625

Simplifying
s = -0.625