### Instruction: Solve for $x$: $\frac{5x}{(x+3)} - \frac3{(x+3)} = \frac1{(x+3)}$.### Response: I notice that all the fractions have the same denominator, $(x+3)$, so I can simplify the equation by multiplying both sides by that denominator.
This will clear the fractions and leave me with a linear equation.
Multiplying both sides by $(x+3)$, I get $5x - 3 = 1$.
Adding $3$ to both sides, I get $5x = 4$.
Dividing both sides by $5$, I get $x = \frac4{5}$.