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24 votes
-28=8x+2(x+6) im so lost

1 Answer

10 votes


\bf{Swap \ sides \ 8x+2(x+6)=-28 }


\bf{Expand \ 2(x+6): \ \ \ \ 2x+12}


\mathrm{Set \ the \ variables \ using: \ \ \ a(b+c)=ab+ac}


a=2,\:b=x,\:c=6


=2x+2\cdot \:6


\mathrm{Multiply\:the\:numbers:}\:2\cdot \:6=12


=2x+12


8x+2x+12=-28


\mathrm{Add\:similar\:elements:\:8x+2x=10x}


10x+12=-28


\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}


10x+12-12=-28-12


\mathrm{Simplify}


10x=-40


\mathrm{Divide\:both\:sides\:by\:}10


(10x)/(10)=(-40)/(10)


\mathrm{Simplify \ (10x)/(10): \ \ x }


\mathrm{Divide:}\:(10)/(10)=1


=x


\mathrm{Simplify \ (-40)/(10): \ \ -4 }


\rm{Apply \ the \ properties \ of \ fractions \ to \ fractions: \ \ (-a)/(b)=-\drac{a}{b}}


=-(40)/(10)


\rm{split: \ (40)/(10)=4 }


\bf{x=-4 \ \ \to \ \ \ Answer }

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