Final answer to the problem
$x=1$
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1
Apply the formula: $\frac{a}{b}=\frac{c}{f}$$\to af=bc$, where $a=x+1$, $b=x-2$, $c=x-3$ and $f=x$
$\left(x+1\right)x=\left(x-2\right)\left(x-3\right)$
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$\left(x+1\right)x=\left(x-2\right)\left(x-3\right)$
Learn how to solve problems step by step online. (x+1)/(x-2)=(x-3)/x. Apply the formula: \frac{a}{b}=\frac{c}{f}\to af=bc, where a=x+1, b=x-2, c=x-3 and f=x. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=1 and a+b=x+1. Apply the formula: x^2+x=c\to x^2+x-c=0, where c=\left(x-2\right)\left(x-3\right). Apply the formula: -\left(a+b\right)=-a-b, where a=x, b=-2, -1.0=-1 and a+b=x-2.
Final answer to the problem
$x=1$
