5s-(s-2)=2s-(s+1)

Solution for 5s-(s-2)=2s-(s+1) equation:

Simplifying
5s + -1(s + -2) = 2s + -1(s + 1)

Reorder the terms:
5s + -1(-2 + s) = 2s + -1(s + 1)
5s + (-2 * -1 + s * -1) = 2s + -1(s + 1)
5s + (2 + -1s) = 2s + -1(s + 1)

Reorder the terms:
2 + 5s + -1s = 2s + -1(s + 1)

Combine like terms: 5s + -1s = 4s
2 + 4s = 2s + -1(s + 1)

Reorder the terms:
2 + 4s = 2s + -1(1 + s)
2 + 4s = 2s + (1 * -1 + s * -1)
2 + 4s = 2s + (-1 + -1s)

Reorder the terms:
2 + 4s = -1 + 2s + -1s

Combine like terms: 2s + -1s = 1s
2 + 4s = -1 + 1s

Solving
2 + 4s = -1 + 1s

Solving for variable 's'.

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

Add '-1s' to each side of the equation.
2 + 4s + -1s = -1 + 1s + -1s

Combine like terms: 4s + -1s = 3s
2 + 3s = -1 + 1s + -1s

Combine like terms: 1s + -1s = 0
2 + 3s = -1 + 0
2 + 3s = -1

Add '-2' to each side of the equation.
2 + -2 + 3s = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 3s = -1 + -2
3s = -1 + -2

Combine like terms: -1 + -2 = -3
3s = -3

Divide each side by '3'.
s = -1

Simplifying
s = -1