# SOLUTION: 80% of a number is equivalent to the sum of the number and 5. What is the number? Write an equation in one variable and solve. Here is what I am starting with. x(.80)=x+5 Di

Algebra ->  Algebra  -> Percentage-and-ratio-word-problems -> SOLUTION: 80% of a number is equivalent to the sum of the number and 5. What is the number? Write an equation in one variable and solve. Here is what I am starting with. x(.80)=x+5 Di      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Problems on percentages, ratios, and fractions Solvers Lessons Answers archive Quiz In Depth

 Question 127394: 80% of a number is equivalent to the sum of the number and 5. What is the number? Write an equation in one variable and solve. Here is what I am starting with. x(.80)=x+5 Did I write the equation right? How do you figure out which side of the equation to leave x on? I feel so lost. Thank you.Found 2 solutions by jim_thompson5910, Earlsdon:Answer by jim_thompson5910(28504)   (Show Source): You can put this solution on YOUR website!You're off to a great start. Now you need to solve for x. It does not matter which side to leave x on (just make sure that all of the x terms are on the same side), but I usually like to get all of the x terms to the left side. Start with the given equation Rearrange the terms Subtract x from both sides Combine like terms Divide both sides by -0.20 to isolate x Divide So the number is -25 Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!You've started out just fine. (0.80)x = x+5 Now you need to isolate the x, and it really doesn't matter which side of the equation it ends up on. Start by subtracting 5 from both sides. 0.8x-5 = x Now subtract 0.8x from both sides. (0.8x-0.8x)-5 = (x-0.8x) -5 = 0.2x Finally, divide both sides by 0.2 -5/0.2 = x, so... x = -25 Check: (0.80)x = x+5 Substitute x = -25 (0.8)(-25) = -25+5 Simplify. -20 = -20 The solution works!