SOLUTION: 1/3 - x/5 = 1/2 - x/10

Algebra ->  Equations -> SOLUTION: 1/3 - x/5 = 1/2 - x/10       Log On


   

Question 83837This question is from textbook elementary algebra
: 1/3 - x/5 = 1/2 - x/10 This question is from textbook elementary algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F3-x%2F5=1%2F2-x%2F10+ Start with the given equation
1%2F3=1%2F2-x%2F10%2Bx%2F5+ Add x%2F5 to both sides
1%2F3-1%2F2=-x%2F10%2Bx%2F5+ Subtract 1%2F2 from both sides
2%2F6-3%2F6=-x%2F10%2B2x%2F10+ Convert fractions to equivalent forms with equal denominators
-1%2F6=x%2F10+ Combine the fractions
10%28-1%2F6%29=x+ Multiply both sides by 10
-10%2F6=x+ Multiply
-5%2F3=x+ Reduce

So we have the answer
x=-5%2F3