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2x+1/5=-x+5/6
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hm is 1/5 a fraction or is / a sign of division?
Put parentheses around the fraction otherwise we don't know if it is \(\frac{2x + 1}{5}\) or \(2x + \frac{1}{5}\)
\[2 x+\frac{1}{5}=\frac{5}{6}-x \]\[2 x+\frac{1}{5}-\left(\frac{5}{6}-x\right)=0 \]\[\frac{1}{30} (90 x-19)=0\]\[x=\frac{19}{90} \]
@robtobey, you're making an assumption
From WolframAlpha:\[2x+1/5=-x+5/6 \to 2 x+\frac{1}{5}=\frac{5}{6}-x \]
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You're making an assumption about the original problem.
What is the original problem?
Nobody knows except the original poster
\[\frac{2x+1}{5}=\frac{-x+5}{6}\]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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