Step-by-step Solution

Solve the equation $\frac{x-3}{2}=\frac{6}{x-2}$

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Step-by-step explanation

Problem to solve:

$\frac{x-3}{2}=\frac{6}{x-2}$

Learn how to solve rational equations problems step by step online.

$\left(x-3\right)\left(x-2\right)=12$

Unlock this full step-by-step solution!

Learn how to solve rational equations problems step by step online. Solve the equation (x-3)/2=6/(x-2). Apply fraction cross-multiplication. Solve the product \left(x-3\right)\left(x-2\right). Solve the product x\left(-3-2\right). Adding -3x and -2x.

Final Answer

$x=6,\:x=-1$

Problem Analysis