5.6s+2.4(s+14)=49.60

Solution for 5.6s+2.4(s+14)=49.60 equation:

Simplifying
5.6s + 2.4(s + 14) = 49.60

Reorder the terms:
5.6s + 2.4(14 + s) = 49.60
5.6s + (14 * 2.4 + s * 2.4) = 49.60
5.6s + (33.6 + 2.4s) = 49.60

Reorder the terms:
33.6 + 5.6s + 2.4s = 49.60

Combine like terms: 5.6s + 2.4s = 8s
33.6 + 8s = 49.60

Solving
33.6 + 8s = 49.60

Solving for variable 's'.

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

Add '-33.6' to each side of the equation.
33.6 + -33.6 + 8s = 49.60 + -33.6

Combine like terms: 33.6 + -33.6 = 0.0
0.0 + 8s = 49.60 + -33.6
8s = 49.60 + -33.6

Combine like terms: 49.60 + -33.6 = 16
8s = 16

Divide each side by '8'.
s = 2

Simplifying
s = 2