Question 156710
I'll do the first two to help you along


# 1




{{{2+3(5x+7)=53}}} Start with the given equation.



{{{2+15x+21=53}}} Distribute.



{{{15x+23=53}}} Combine like terms on the left side.



{{{15x=53-23}}} Subtract {{{23}}} from both sides.



{{{15x=30}}} Combine like terms on the right side.



{{{x=(30)/(15)}}} Divide both sides by {{{15}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



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Answer:


So the answer is {{{x=2}}} 



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# 2




{{{3n+2(n-4)=42}}} Start with the given equation.



{{{3n+2n-8=42}}} Distribute.



{{{5n-8=42}}} Combine like terms on the left side.



{{{5n=42+8}}} Add {{{8}}} to both sides.



{{{5n=50}}} Combine like terms on the right side.



{{{n=(50)/(5)}}} Divide both sides by {{{5}}} to isolate {{{n}}}.



{{{n=10}}} Reduce.



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Answer:


So the answer is {{{n=10}}}