Final answer to the problem
$x=-5,\:x=7$
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Apply the formula: $\frac{a}{b}=\frac{c}{f}$$\to af=bc$, where $a=x$, $b=2x+7$, $c=x-5$ and $f=x-1$
$x\left(x-1\right)=\left(2x+7\right)\left(x-5\right)$
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$x\left(x-1\right)=\left(2x+7\right)\left(x-5\right)$
Learn how to solve problems step by step online. x/(2x+7)=(x-5)/(x-1). Apply the formula: \frac{a}{b}=\frac{c}{f}\to af=bc, where a=x, b=2x+7, c=x-5 and f=x-1. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-1 and a+b=x-1. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-5, x=2x+7 and a+b=x-5. Multiply the single term x by each term of the polynomial \left(2x+7\right).
Final answer to the problem
$x=-5,\:x=7$
