Question 640519
{{{6(p+2)=9(p-5)}}} Start with the given equation.



{{{6p+12=9p-45}}} Distribute.



{{{6p=9p-45-12}}} Subtract {{{12}}} from both sides.



{{{6p-9p=-45-12}}} Subtract {{{9p}}} from both sides.



{{{-3p=-45-12}}} Combine like terms on the left side.



{{{-3p=-57}}} Combine like terms on the right side.



{{{p=(-57)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{p}}}.



{{{p=19}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{p=19}}}