Answer
{$-\frac{14}{139} $}
Work Step by Step
$\frac{8w+5}{10w-7}=\frac{4w-3}{5w+7}$ Where $w\ne\frac{7}{10},w\ne-\frac{7}{5}$
$(8w+5)(5w+7)=(4w-3)(10w-7)$ Use cross multiplication.
$40w^2+56w+25w+35=40w^2-28w-30w+21$ Multiply.
$40w^2+81w+35=40w^2-58w+21$ Combine like terms.
$40w^2-40w^2+81w+35=40w^2-40w^2-58w+21$ Subtract $40w^2 $ from both sides.
$81w+35=-58w+21$
$81w+58w+35=-58w+58w+21$ Add 58w to both sides.
$139w+35=21$
$139w+35-35=21-35$ Subtract 35 from both sides.
$139w=-14$
$\frac{139w}{139}=\frac{-14}{139}$ Divide both sides by 139
$w=-\frac{14}{139}$
The solution is {$-\frac{14}{139} $}
