Question

What is the solution to the equation 3/5x-4-3/7x+8?

cot
x= -6
x = -1
Ao x=1
x
=2

Answer 1

The solution to the equation 3/5x-4-3/7x+8 is x = -6

Solution:

Given that equation is
`(3)/(5x-4) - (3)/(7x+8)`

We are asked to find the solution of the equation

So to find the solution of the equation put it equal to 0

`(3)/(5x - 4) - (3)/(7x + 8) = 0`

On cross multiplication we get,

`(3(7 x+8)-3(5 x-4))/((5 x-4)(7 x+8)) = 0`

On solving we get,

`(21 x+24-15 x+12)/((5 x-4)(7 x+8))=0`

6x+36=0

6x = -36

x = -6

Hence the solution to the equation is x = -6