Question

Find the solution of ×\2-1/5=×\3+1/4 please help me with this​

Answer 1

`x=(27)/(10)`

Explanation:

Assuming that the beginning equation is
`(x)/(2) -(1)/(5) =(x)/(3) +(1)/(4)`

First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator

`(x)/(2)((30)/(30)) -(1)/(5)((12)/(12)) =(x)/(3)((20)/(20)) +(1)/(4) ((15)/(15)) \\\\(30x)/(60)-(12)/(60) =(20x)/(60)+(15)/(60)`

Now, we can multiply each side by 60, which will remove the fractions

`30x-12=20x+15`

Now we can add 12 to each side

`30x=20x+27`

Now subtract 20x from each side

`10x=27`

And lastly, divide each side by 10

`x=(27)/(10)`