Solve the Equation: 48÷(10/x)-(x+5) with Fraction Division

Let's solve the expression $48:\frac{10}{x}-(x+5)$.

Step 1: Change the division to multiplication by the reciprocal.

We have $48:\frac{10}{x} = 48 \times \frac{x}{10}$.

Simplifying this, we obtain:

$48 \times \frac{x}{10} = \frac{48x}{10} = 4.8x$.

Step 2: Incorporate the subtraction operation.

We now have $4.8x - (x + 5)$.

Distribute the negative sign:

This gives us $4.8x - x - 5$.

Step 3: Combine like terms.

Simplifying further, we have:

$4.8x - x = 3.8x$.

Thus, we end with:

$3.8x - 5$.

Therefore, the solution to the problem is $3.8x - 5$.

Upon reviewing the given choices, choice 1 corresponds to our calculated result: $3.8x - 5$.