Question 118750
Since there isn't a right side, we cannot solve. However, we can simplify.




{{{(2)/(x)-(1)/(5)}}} Start with the given expression





Since the denominators are not equal, we need to get them to a common denominator. Since the LCD is {{{5x}}}, we need to get each denominator to {{{5x}}}





{{{(((5))/((5)))((2)/(x))+(1)/(5)}}} Multiply {{{(2)/(x)}}} by {{{((5))/((5))}}}


 


{{{(5)(2)/(5x)+(1)/(5)}}} Combine the fractions




{{{(10)/(5x)+(1)/(5)}}} Multiply 5 and 2 to get 10


 


{{{(10)/(5x)+(((x))/((x)))((1)/(5))}}} Multiply {{{(1)/(5)}}} by {{{((x))/((x))}}}


 


{{{(10)/(5x)+(x)(1)/(5x)}}} Combine the fractions




{{{(10)/(5x)+(x)/(5x)}}} Multiply x and 1 to get x


 



{{{(10+x)/(5x)}}} Since the 2 fractions have the common denominator {{{(5x)}}}, we can combine them. In order to do that, just combine the numerators.