13*(s-5)-4*(s-1)+s=5

Solution for 13*(s-5)-4*(s-1)+s=5 equation:

Simplifying
13(s + -5) + -4(s + -1) + s = 5

Reorder the terms:
13(-5 + s) + -4(s + -1) + s = 5
(-5 * 13 + s * 13) + -4(s + -1) + s = 5
(-65 + 13s) + -4(s + -1) + s = 5

Reorder the terms:
-65 + 13s + -4(-1 + s) + s = 5
-65 + 13s + (-1 * -4 + s * -4) + s = 5
-65 + 13s + (4 + -4s) + s = 5

Reorder the terms:
-65 + 4 + 13s + -4s + s = 5

Combine like terms: -65 + 4 = -61
-61 + 13s + -4s + s = 5

Combine like terms: 13s + -4s = 9s
-61 + 9s + s = 5

Combine like terms: 9s + s = 10s
-61 + 10s = 5

Solving
-61 + 10s = 5

Solving for variable 's'.

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

Add '61' to each side of the equation.
-61 + 61 + 10s = 5 + 61

Combine like terms: -61 + 61 = 0
0 + 10s = 5 + 61
10s = 5 + 61

Combine like terms: 5 + 61 = 66
10s = 66

Divide each side by '10'.
s = 6.6

Simplifying
s = 6.6