SOLUTION: I have this problem for my homework, and I have no idea to even start to solve this. Could you please help me? Thank you so much! (x – 7)/5 – 5/2 = (x + 9)/10

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: I have this problem for my homework, and I have no idea to even start to solve this. Could you please help me? Thank you so much! (x – 7)/5 – 5/2 = (x + 9)/10      Log On


   

Question 76727: I have this problem for my homework, and I have no idea to even start to solve this. Could you please help me? Thank you so much!
(x – 7)/5 – 5/2 = (x + 9)/10
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x+-+7%29%29%2F5 – +5%2F2+ = %28%28x+%2B+9%29%29%2F10
:
First get rid of the denominators by multiplying each term by a common denominator
10 would be a good one:
%2810%28x+-+7%29%29%2F5 – %2810%295%2F2+ = %2810%28x+%2B+9%29%29%2F10
:
Cancel out the denominators and you have:
2(x - 7) - 5(5) = x + 9
:
Multiply what's inside the brackets and you have:
2x - 14 - 25 = x + 9
:
Some basic algebra
2x - 39 = x + 9
2x - x = 9 + 39
x = +48
:
Check in original equation substitute 48 for x:
%28%2848+-+7%29%29%2F5 – +5%2F2+ = %28%2848+%2B+9%29%29%2F10
:
%28%2841%29%29%2F5 – +5%2F2+ = %28%2857%29%29%2F10
:
Change to a common denominator (10):
%28%2882%29%29%2F10 – +25%2F10+ = %28%2857%29%29%2F10
:
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