SOLUTION: Okay, I asked this one Friday and nobody got back to me so I am asking it again. Here is the problem... Solve the ration expression x+3/5=6[-]4(x+2)/10 I know all the numerators

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Okay, I asked this one Friday and nobody got back to me so I am asking it again. Here is the problem... Solve the ration expression x+3/5=6[-]4(x+2)/10 I know all the numerators       Log On


   

Question 132409: Okay, I asked this one Friday and nobody got back to me so I am asking it again. Here is the problem...
Solve the ration expression x+3/5=6[-]4(x+2)/10
I know all the numerators have to have a LCD and I know how to do that, but once I do that and solve out the problem I am not getting the right answer. If you could help me I would appreciate it!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B3%2F5=6-4%28x%2B2%29%2F10 Start with the given equation



%2810%29%28x%2B3%2Fcross%285%29%29=%2810%29%286-4%28x%2B2%29%2Fcross%2810%29%29 Multiply both sides by the LCM of 10. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



10x%2B6=60-4%28x%2B2%29 Distribute and multiply the LCM to each side



10x%2B6=60-4x-8 Distribute


10x%2B6=-4x%2B52 Combine like terms on the right side


10x=-4x%2B52-6Subtract 6 from both sides


10x%2B4x=52-6 Add 4x to both sides


14x=52-6 Combine like terms on the left side


14x=46 Combine like terms on the right side


x=%2846%29%2F%2814%29 Divide both sides by 14 to isolate x



x=23%2F7 Reduce

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Answer:
So our answer is x=23%2F7 (which is approximately x=3.28571 in decimal form)