SOLUTION: Solve and check each of the following equations for x. x/6 – x/8 =1

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Question 77524: Solve and check each of the following equations for x.
x/6 – x/8 =1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F6+-+x%2F8+=1 Start with the given equation

48%28x%2F6+-+x%2F8%29+=48%281%29 Multiply both sides by the LCD of 6*8=48. This will eliminate the denominators

8x+-+6x+=48 Distribute the 48

2x+=48 Subtract like terms

x+=24 Divide both sides by 2

Check:
x%2F6+-+x%2F8+=1
24%2F6+-+24%2F8+=1 Plug in x=24
4+-+3+=1
1=1 works