3(s+1)-(s-2)=22s

Solution for 3(s+1)-(s-2)=22s equation:

Simplifying
3(s + 1) + -1(s + -2) = 22s

Reorder the terms:
3(1 + s) + -1(s + -2) = 22s
(1 * 3 + s * 3) + -1(s + -2) = 22s
(3 + 3s) + -1(s + -2) = 22s

Reorder the terms:
3 + 3s + -1(-2 + s) = 22s
3 + 3s + (-2 * -1 + s * -1) = 22s
3 + 3s + (2 + -1s) = 22s

Reorder the terms:
3 + 2 + 3s + -1s = 22s

Combine like terms: 3 + 2 = 5
5 + 3s + -1s = 22s

Combine like terms: 3s + -1s = 2s
5 + 2s = 22s

Solving
5 + 2s = 22s

Solving for variable 's'.

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

Add '-22s' to each side of the equation.
5 + 2s + -22s = 22s + -22s

Combine like terms: 2s + -22s = -20s
5 + -20s = 22s + -22s

Combine like terms: 22s + -22s = 0
5 + -20s = 0

Add '-5' to each side of the equation.
5 + -5 + -20s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -20s = 0 + -5
-20s = 0 + -5

Combine like terms: 0 + -5 = -5
-20s = -5

Divide each side by '-20'.
s = 0.25

Simplifying
s = 0.25