# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

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

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

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

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (x-3)/2=6/(x-2). Apply fraction cross-multiplication. Solve the product \left(x-3\right)\left(x-2\right). Moving the term 6 to the other side of the equation with opposite sign. Rewrite the equation.

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

### Problem Analysis

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

### Main topic:

Trigonometric Equations

~ 0.04 seconds