Question

x: 2/5+3/5x=x+5/10

Answer 1

is this \[3/{(5x)}\] or \[(3/5) x\]?

Assuming its the second one, you can multiply both sides by 5 and get
\[2+3x=5x + 5/2\]
\[2x = -1/2\]
\[x = -1/4\]

Answer 2

no, its the first one. I'm sorry

Answer 3

In that case you can still multiply both sides by 5, but this time youll get the following result:
\[2 + 3/x = 5x + 5/2\]
\[-1/2 = 5x - 3/x\]
\[-1/2 = 5x^2/x - 3/x\]
\[-1/2 = (5x^2 - 3)/x\]
\[-(1/2)x = 5x^2 - 3\]

Do note that from the very first step we have to say that x can never be 0, because of the divsion by x.

So this yields \[5x^2 +(1/2) x - 3 = 0\]

And now you can just use the formula. Can you handle it from here?