Question 126659


{{{(1/2)(p+5)-4=(1/3)(2p-1)}}} Start with the given equation




{{{(6)((1/2)(p+5)-4)=(6)((1/3)(2p-1))}}} 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>)




{{{3(p+5)-24=2(2p-1)}}} Distribute and multiply the LCM to each side




{{{3p+15-24=4p-2}}} Distribute



{{{3p-9=4p-2}}} Combine like terms on the left side



{{{3p=4p-2+9}}}Add 9 to both sides



{{{3p-4p=-2+9}}} Subtract 4p from both sides



{{{-p=-2+9}}} Combine like terms on the left side



{{{-p=7}}} Combine like terms on the right side



{{{p=(7)/(-1)}}} Divide both sides by -1 to isolate p




{{{p=-7}}} Divide


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Answer:

So our answer is {{{p=-7}}} 





Since we get only one answer, the equation is conditional. In other words, the equation is only true <b>if</b> {{{p=-7}}}.