The value of x is 22.
To solve the equation 5/3=x+8/18 for x, we can start by multiplying both sides of the equation by the denominator of the fraction on the right side, which is 18. This helps eliminate the fraction:18× 5/3=18× x+8/18
Simplifying both sides, we get:
30=x+8
Now, to isolate x, we subtract 8 from both sides:
x=22
However, we have to be careful with the negative sign in the original problem. The correct solution is x=22.