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Mathematics 23 Online
OpenStudy (anonymous):

2x+1/5=-x+5/6

OpenStudy (chrisneedshelp):

hm is 1/5 a fraction or is / a sign of division?

hero (hero):

Put parentheses around the fraction otherwise we don't know if it is \(\frac{2x + 1}{5}\) or \(2x + \frac{1}{5}\)

OpenStudy (anonymous):

\[2 x+\frac{1}{5}=\frac{5}{6}-x \]\[2 x+\frac{1}{5}-\left(\frac{5}{6}-x\right)=0 \]\[\frac{1}{30} (90 x-19)=0\]\[x=\frac{19}{90} \]

hero (hero):

@robtobey, you're making an assumption

OpenStudy (anonymous):

From WolframAlpha:\[2x+1/5=-x+5/6 \to 2 x+\frac{1}{5}=\frac{5}{6}-x \]

hero (hero):

You're making an assumption about the original problem.

OpenStudy (anonymous):

What is the original problem?

hero (hero):

Nobody knows except the original poster

OpenStudy (jiteshmeghwal9):

\[\frac{2x+1}{5}=\frac{-x+5}{6}\]Now, do cross multiplication as\[6(2x+1)=5(-x+5)\]\[12x+6=-5x+25\]\[12x+5x=25-6\]\[7x=19\]\[x=\frac{19}{7}\]

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