Answer:
The solution to the equation 3/5x-4-3/7x+8 is x = -6
Solution:
Given that equation is [tex]\frac{3}{5x-4} - \frac{3}{7x+8}[/tex]
We are asked to find the solution of the equation
So to find the solution of the equation put it equal to 0
[tex]\frac{3}{5x - 4} - \frac{3}{7x + 8} = 0[/tex]
On cross multiplication we get,
[tex]\frac{3(7 x+8)-3(5 x-4)}{(5 x-4)(7 x+8)} = 0[/tex]
On solving we get,
[tex]\frac{21 x+24-15 x+12}{(5 x-4)(7 x+8)}=0[/tex]
6x+36=0
6x = -36
x = -6
Hence the solution to the equation is x = -6
