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Mathematics 13 Online
OpenStudy (anonymous):

Need help with a question

OpenStudy (salazarblack):

so do i! :D

OpenStudy (anonymous):

What is the solution of \[\frac{ 1 }{2 }x-8=-\frac{ 3 }{ 2 }x+2\] A. x = -10 B. x = -3 C. x = 5 D. x = 10

OpenStudy (jdoe0001):

multiply both sides by "2" then simplify

OpenStudy (salazarblack):

this is easy :'(

OpenStudy (anonymous):

I got A

OpenStudy (salazarblack):

i think it's correct

OpenStudy (jdoe0001):

hmm how did you get 10 anyway?

OpenStudy (salazarblack):

ohh it's c

OpenStudy (salazarblack):

i thought you wrote C lol

OpenStudy (anonymous):

I simplified wrong

OpenStudy (jdoe0001):

woops not even that..lemme fix that

OpenStudy (jdoe0001):

\(\bf \cfrac{ 1 }{2 }x-8=-\cfrac{ 3 }{ 2 }x+2\qquad {\color{brown}{ \times 2}} \\ \quad \\ x-16=-3x+4\implies 4x=20\implies x=5\)

OpenStudy (jdoe0001):

\(\bf \cancel{ 2 }\times \cfrac{1}{\cancel{ 2 }}x\qquad \qquad \cancel{ 2 }\times -\cfrac{3}{\cancel{ 2 }}x\) thus

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