SOLUTION: I am trying to back into the selling price before sales tax. Our sales tax rate is 7.75% and the total sales price including tax is $20.00. The equation is as follows: x + (x*7

Question 298759: I am trying to back into the selling price before sales tax.
Our sales tax rate is 7.75% and the total sales price including tax is $20.00. The equation is as follows:
x + (x*7.75%) = $20
x + .0775x = $20 is as far as I get before drawing a blank
Please show work as I am going crazy trying to solve the equation but know the answer is x = $18.56
thank you!!

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Your first steps are fine.
x+0.0775x = 20 Now factor the x.
x(1+0.0775) = 20 Simplify.
x(1.0775) = 20 Divide both sides by 1.0775
x = 18.5615
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