\( x=\frac{3 w}{4}-5 y+0.4 w \) Is \( x \) isolated?

In the given equation \( x=\frac{3 w}{4}-5 y+0.4 w \), \( x \) is indeed isolated on one side of the equation. This means that \( x \) is expressed solely in terms of the variables \( w \) and \( y \) without any other coefficients or terms tied to it. Essentially, if you can write it as \( x = \text{(some expression)} \), then you're on the right track! While the equation is simplified, often students might overlook that \( w \) and \( y \) are both influencing \( x \). A common mistake is forgetting that any additional manipulation may lead to reintroducing those variables to one side, potentially complicating the isolation. So always double-check the terms you’re working with!