4(s-4)-3(s-5)=5

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

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

Reorder the terms:
4(-4 + s) + -3(s + -5) = 5
(-4 * 4 + s * 4) + -3(s + -5) = 5
(-16 + 4s) + -3(s + -5) = 5

Reorder the terms:
-16 + 4s + -3(-5 + s) = 5
-16 + 4s + (-5 * -3 + s * -3) = 5
-16 + 4s + (15 + -3s) = 5

Reorder the terms:
-16 + 15 + 4s + -3s = 5

Combine like terms: -16 + 15 = -1
-1 + 4s + -3s = 5

Combine like terms: 4s + -3s = 1s
-1 + 1s = 5

Solving
-1 + 1s = 5

Solving for variable 's'.

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

Add '1' to each side of the equation.
-1 + 1 + 1s = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 1s = 5 + 1
1s = 5 + 1

Combine like terms: 5 + 1 = 6
1s = 6

Divide each side by '1'.
s = 6

Simplifying
s = 6