Answer
$x = \frac{23}{2}$
Work Step by Step
$6x + 5 = 2(4x- 9)$
$6x + 5 = 8x - 18$
$6x - 8x = -18 - 5$
$-2x = -23$
$2x = 23$
$x = \frac{23}{2}$
$x = 11.5$
Check:
$6(\frac{23}{2}) + 5 \overset{?}{=} 2(4(\frac{23}{2})- 9)$
$\frac{138}{2} + 5 \overset{?}{=} 2(\frac{92}{2}- 9)$
$69 + 5 \overset{?}{=} 2(46- 9)$
$69 + 5 \overset{?}{=} 2(37)$
$74 = 74$
