Question 457379
# 1


{{{8(k+3)=5(k-3)}}} Start with the given equation.



{{{8k+24=5k-15}}} Distribute.



{{{8k=5k-15-24}}} Subtract {{{24}}} from both sides.



{{{8k-5k=-15-24}}} Subtract {{{5k}}} from both sides.



{{{3k=-15-24}}} Combine like terms on the left side.



{{{3k=-39}}} Combine like terms on the right side.



{{{k=(-39)/(3)}}} Divide both sides by {{{3}}} to isolate {{{k}}}.



{{{k=-13}}} Reduce.



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Answer:


So the solution is {{{k=-13}}} 



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# 2



{{{6(k-3)=5(-3k-2)}}} Start with the given equation.



{{{6k-18=-15k-10}}} Distribute.



{{{6k=-15k-10+18}}} Add {{{18}}} to both sides.



{{{6k+15k=-10+18}}} Add {{{15k}}} to both sides.



{{{21k=-10+18}}} Combine like terms on the left side.



{{{21k=8}}} Combine like terms on the right side.



{{{k=(8)/(21)}}} Divide both sides by {{{21}}} to isolate {{{k}}}.



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Answer:


So the solution is {{{k=8/21}}} 


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# 3


You're missing an equals sign here.