Find x: by/x +c =a/m

Answer 1

The key here is to isolate x so that it is the only term on one side of the = sign. Here is the procedure:

We start with by/x + c = a/m

Multiply both sides of the equation by x.

by + cx = x(a/m)

Reduce the equation to an equation with only one term involving x.

by + cx -x(a/m) = 0

by + x(c-a/m) = 0

Isolate the term involving x from all other terms.

x(c-a/m) = -by

Isolate x.

x =  -by/(c-a/m)

Or, if you like, get rid of the – sign.

X=by/(a/m-c)