# How do you solve 1/2(3x-8)+4 = 2x-(5x+1)?

$x = - \frac{26}{9}$
$\frac{3}{2} x + 4 + 4 = 2 x - 5 x - 5$ distribute
$\frac{3}{2} x + 8 = - 3 x - 5$ combine like terms
$3 x + 16 = - 6 x - 10$ multiply whole equation by 2 to get rid of fraction
$9 x = - 26$
$x = - \frac{26}{9}$