Question 118893

{{{1+(1/6)p=2(p-5)}}} Start with the given equation




{{{(6)(1+(1/6)p)=(6)(2(p-5))}}} Multiply both sides by the LCM of 6. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{6+1p=12(p-5)}}} Distribute and multiply the LCM to each side




{{{6+1p=12p-60}}} Distribute



{{{6+p=12p-60}}} Combine like terms on the left side



{{{p=12p-60-6}}}Subtract 6 from both sides



{{{p-12p=-60-6}}} Subtract 12p from both sides



{{{-11p=-60-6}}} Combine like terms on the left side



{{{-11p=-66}}} Combine like terms on the right side



{{{p=(-66)/(-11)}}} Divide both sides by -11 to isolate p




{{{p=6}}} Divide


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Answer:

So our answer is {{{p=6}}} 





note: you were on the right track, but I don't know how you got your last step.