SOLUTION: Find the value of k so that the equation below has the solution set {-5}. 4(x+3)=x(3-k) so far i have this but my main problem is what is the definition of a solution set?

Question 155918: Find the value of k so that the equation below has the solution set {-5}.
4(x+3)=x(3-k)
so far i have this but my main problem is what is the definition of a solution set?
4x+12=3x-kx minus 3x from each side. x+12/x= -kx/x then -12/x=k
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the value of k so that the equation below has the solution set {-5}.
4(x+3)=x(3-k)
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A solution is the set of numbers which make an equation true.
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Substitute -5 for x to get:
4(-5+3) = -5(3-k)
4(-22) = -5(3-k)
-88 = -15 + 5k
5k = -73
k = -14.6
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Cheers,
Stan H.
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