3(s-5)+2(s-4)=-3(s-2)+9(s+2)

Solution for 3(s-5)+2(s-4)=-3(s-2)+9(s+2) equation:

Simplifying
3(s + -5) + 2(s + -4) = -3(s + -2) + 9(s + 2)

Reorder the terms:
3(-5 + s) + 2(s + -4) = -3(s + -2) + 9(s + 2)
(-5 * 3 + s * 3) + 2(s + -4) = -3(s + -2) + 9(s + 2)
(-15 + 3s) + 2(s + -4) = -3(s + -2) + 9(s + 2)

Reorder the terms:
-15 + 3s + 2(-4 + s) = -3(s + -2) + 9(s + 2)
-15 + 3s + (-4 * 2 + s * 2) = -3(s + -2) + 9(s + 2)
-15 + 3s + (-8 + 2s) = -3(s + -2) + 9(s + 2)

Reorder the terms:
-15 + -8 + 3s + 2s = -3(s + -2) + 9(s + 2)

Combine like terms: -15 + -8 = -23
-23 + 3s + 2s = -3(s + -2) + 9(s + 2)

Combine like terms: 3s + 2s = 5s
-23 + 5s = -3(s + -2) + 9(s + 2)

Reorder the terms:
-23 + 5s = -3(-2 + s) + 9(s + 2)
-23 + 5s = (-2 * -3 + s * -3) + 9(s + 2)
-23 + 5s = (6 + -3s) + 9(s + 2)

Reorder the terms:
-23 + 5s = 6 + -3s + 9(2 + s)
-23 + 5s = 6 + -3s + (2 * 9 + s * 9)
-23 + 5s = 6 + -3s + (18 + 9s)

Reorder the terms:
-23 + 5s = 6 + 18 + -3s + 9s

Combine like terms: 6 + 18 = 24
-23 + 5s = 24 + -3s + 9s

Combine like terms: -3s + 9s = 6s
-23 + 5s = 24 + 6s

Solving
-23 + 5s = 24 + 6s

Solving for variable 's'.

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

Add '-6s' to each side of the equation.
-23 + 5s + -6s = 24 + 6s + -6s

Combine like terms: 5s + -6s = -1s
-23 + -1s = 24 + 6s + -6s

Combine like terms: 6s + -6s = 0
-23 + -1s = 24 + 0
-23 + -1s = 24

Add '23' to each side of the equation.
-23 + 23 + -1s = 24 + 23

Combine like terms: -23 + 23 = 0
0 + -1s = 24 + 23
-1s = 24 + 23

Combine like terms: 24 + 23 = 47
-1s = 47

Divide each side by '-1'.
s = -47

Simplifying
s = -47