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Combine all terms into a single fraction with $x$ as common denominator
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$\frac{1}{2+x}=\frac{\frac{1}{2}x+1}{x}$
Learn how to solve problems step by step online. Solve the rational equation 1/(2+x)=1/2+1/x. Combine all terms into a single fraction with x as common denominator. Apply fraction cross-multiplication. Multiplying polynomials 2+x and \frac{1}{2}x+1. Multiply the single term \frac{1}{2}x by each term of the polynomial \left(2+x\right).