2.4s+5.6(14-s)=49.6

Solution for 2.4s+5.6(14-s)=49.6 equation:

Simplifying
2.4s + 5.6(14 + -1s) = 49.6
2.4s + (14 * 5.6 + -1s * 5.6) = 49.6
2.4s + (78.4 + -5.6s) = 49.6

Reorder the terms:
78.4 + 2.4s + -5.6s = 49.6

Combine like terms: 2.4s + -5.6s = -3.2s
78.4 + -3.2s = 49.6

Solving
78.4 + -3.2s = 49.6

Solving for variable 's'.

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

Add '-78.4' to each side of the equation.
78.4 + -78.4 + -3.2s = 49.6 + -78.4

Combine like terms: 78.4 + -78.4 = 0.0
0.0 + -3.2s = 49.6 + -78.4
-3.2s = 49.6 + -78.4

Combine like terms: 49.6 + -78.4 = -28.8
-3.2s = -28.8

Divide each side by '-3.2'.
s = 9

Simplifying
s = 9