Please show full working while solving this question 3x=5(mode7)

once is enough, thank you.

3x = 5 (mod 7)

We can rewrite this equation as:

3x - 5 = 7k

where k is an integer.

Now we can solve for x:

3x - 5 = 7k

3x = 7k + 5

x = (7k + 5) / 3

x = (7k + 5) / 3 (mod 7)

Since (7k + 5) is divisible by 3, we can simplify the equation to:

x = (7k + 5) / 3 (mod 7)

x = 2k + 2 (mod 7)

Therefore, the solution to the equation is x = 2k + 2 (mod 7).