Answer
$x = 2$
Work Step by Step
$\frac{x+3}{5} = \frac{x+5}{7}$
$x+3= \frac{5(x+5)}{7}$
$7(x+3) = 5(x+5)$
$7x+21 = 5x+25$
$2x+21 = 25$
$2x= 4$
$x= 2$
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