[0/1 Points] DETAILS MY NOTES SPRECALC8 1.5.027. The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter No sOLUTION. If all real numbers are solutions, enter REALS.) \[ \frac{4}{x}=\frac{5}{4 x}+1 \] \( x=\square x \) Need Help? Read it Watch it

Let's dive into this equation! To solve \(\frac{4}{x} = \frac{5}{4x} + 1\), we start by finding a common denominator to eliminate the fractions. Multiply each term by \(4x\) to get rid of the denominators, leading to \(16 = 5 + 4x\). Simplifying further, we have \(4x = 11\), which gives us \(x = \frac{11}{4}\). Now, let’s talk about how easy it can be to overlook a solution when you have fractions. Always ensure you clear the fractions early in the problem! They can hide potential solutions or create complex equations that seem intimidating but are really just waiting to be simplified!