Question 351782
# 1




{{{3n-5=-8(6+5n)}}} Start with the given equation.



{{{3n-5=-48-40n}}} Distribute.



{{{3n=-48-40n+5}}} Add {{{5}}} to both sides.



{{{3n+40n=-48+5}}} Add {{{40n}}} to both sides.



{{{43n=-48+5}}} Combine like terms on the left side.



{{{43n=-43}}} Combine like terms on the right side.



{{{n=(-43)/(43)}}} Divide both sides by {{{43}}} to isolate {{{n}}}.



{{{n=-1}}} Reduce.



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Answer:


So the answer is {{{n=-1}}} 



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# 2




{{{-(1+7x)-6(-7-x)=36}}} Start with the given equation.



{{{-1-7x+42+6x=36}}} Distribute.



{{{-x+41=36}}} Combine like terms on the left side.



{{{-x=36-41}}} Subtract {{{41}}} from both sides.



{{{-x=-5}}} Combine like terms on the right side.



{{{x=(-5)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=5}}} Reduce.



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Answer:


So the answer is {{{x=5}}} 



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# 3




{{{-5(1-5x)+5(-8-2)=-4x-8x}}} Start with the given equation.



{{{-5+25x-40-10=-4x-8x}}} Distribute.



{{{25x-55=-4x-8x}}} Combine like terms on the left side.



{{{25x-55=-12x}}} Combine like terms on the right side.



{{{25x=-12x+55}}} Add {{{55}}} to both sides.



{{{25x+12x=55}}} Add {{{12x}}} to both sides.



{{{37x=55}}} Combine like terms on the left side.



{{{x=(55)/(37)}}} Divide both sides by {{{37}}} to isolate {{{x}}}.



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Answer:


So the answer is {{{x=55/37}}} which approximates to {{{x=1.486}}}.