Make x the subject of the equation s = 2 + t5 t 5 (x + ⅗y)

Make x the subject of the equation
s = 2 + $\frac{t}{5}$(x + ⅗y)

Answer Details

2 + t/5(x + 3/5y ) = s
t/5(x + 3/5y ) = s − 2
[(t(5x + 3y) ÷ 25)] = s − 2
t(5x + 3y) = 25 (s − 2)
5x + 3y = [(25(s − 2))÷ t]
5x = [(25(s − 2))÷ t] − 3y
Divide both sides by 5
x = [25(s − 2) − 3ty)]÷ 5t