Thread: Help: Solving for X with Fractions

I'm an accounting major working with some chapter problems for the upcoming exam and there's one question that I know how to do accounting wise but cannot solve for the variable I need to. If someone could show me how to do so then that would be great,thanks.

.115 = [X * .7] / [1 - (X * .7)]

In other words: X multiplied by .7 (numerator), OVER (denominator) 1 minus the numerator, equals .115

Multiply through by the denominator, and then solve the resulting linear equation.

I have done that and it is not working. Just guiding me through the process of solving this equation would help me a lot for future reference if I ever encounter a similar equation. I know by trial and error that the answer is .147, I just need to see the steps on how I would go about solving it.