SOLUTION: Solve for x 2/5 + 1/4 = x – 1/2

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Question 180379: Solve for x
2/5 + 1/4 = x – 1/2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x
2%2F5+%2B+1%2F4 = x+-+1%2F2
Get rid of those annoying denominators, multiply equation by 20
20*2%2F5 + 20*1%2F4 = 20(x) - 20*1%2F2
results
4(2) + 5(1) = 20x - 10(1)
:
8 + 5 = 20x - 10
:
13 + 10 = 20x
:
23 = 20x
:
x = 23%2F20
;
:
Check solution in original equation
2%2F5+%2B+1%2F4 = 23%2F20+-+1%2F2
common denominator
8%2F20+%2B+5%2F20 = 23%2F20+-+10%2F20; confirms our solution