Solve for x: 2 over 5 plus 3 over 5 x equals x plus 5 over 10

Question

anonymous · Answer

$$\frac{2}{5}+\frac{3}{5}x=\frac{x+5}{10}$$?

lgbasallote · Answer

$$\huge  \frac{2}{5 + \frac{3}{5x}} = \frac{x+5}{10}$$
i think

anonymous · Answer

i doubt it

anonymous · Answer

its the first one but the x is next to the 5 like the second

lgbasallote · Answer

a guy can dream cant he :(

valpey · Answer

So$$\frac{2}{5}+\frac{3}{5x}=\frac{x+5}{10}$$
I'd start with multiplying the whole problem by the LCD of 10x.

valpey · Answer

The three denominators are 5, 5x, and 10. The least common multiple of these three things is 10x. When you multiply each fraction by 10x you will be left with no fractions.

anonymous · Answer

oh so they cancel out and its no solution?

valpey · Answer

No. You will have to do some cancelling, but you will still have some terms left.