Question

how to solve X-5/3=x-3/5

Answer 1

x-5)*5=3(x-3
5x-25=3x-9
2x=16
x=8
brainliest pls

Answer 2

Answer :

The value of x is 8.

Step-by-step explanation :

$\sf \frac{x - 5}{3} = \frac{x - 3}{5} \\ \\ \sf on \: cross \: multiplication.. \\ \\ \sf 5(x - 5) = 3(x - 3) \\ \\ \sf 5x - 25 = 3x - 9 \\ \\ \sf 5x - 3x = - 9 + 25 \\ \\ \sf 2x = 16 \\ \\ \sf x = \frac{16}{2} \\ \\ \sf x = 8$

Verification :

Putting the value of x, we get ;

$\sf \frac{x - 5}{3} = \frac{x - 3}{5} \\ \\ \sf \frac{8 - 5}{3} = \frac{8 - 3}{5} \\ \\ \sf \frac{ 3}{3} = \frac{5}{5} \\ \\ \sf 1 = 1$

Hence, the value of x is 8.