Solution
Solve
[tex]\frac{x-1}{x-4}=\frac{x+1}{x-2}[/tex]Step 1: Evaluate and cross multiply
[tex]\begin{gathered} \frac{x-1}{x-4}=\frac{x+1}{x-2} \\ x-1(x-2)=x+1(x-4) \\ x^2-2x-x+2=x^2-4x+x-4 \end{gathered}[/tex]Step 2: Collect like terms
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