Question

What if we transpose 3 first to R.H.S? Why answer is coming wrong? Is there any property what to do first (like bodmas)?

Answer 1

Here, -8/5 equals 'x' and 7/15 equals 'x/3 + 1'.

In the solution, it's x/3 + 1 at LHS, so it means that 1 added to one-third of x.

When we transpose 3 at this step, it'll be wrong because the denominator of 1 should also be 3 at LHS.

So either denominators of both x/3 and 1 have to be equalized or 1 from LHS has to be transposed to RHS.

That's why 1 is transposed at first. You can also take the LHS as (x+3) / 3, by equalizing the denominator.

Thank you. :-))