4+x2/3=9+x1/2

4+x2/3=9+x1/2

4+2/3x=9+1/2x

2/3x - 1/2x =9 - 4

1/6x = 5 multiply both sides by 6

x =5 x 6

x = 30

$4+\frac{2}{3}x=9+\frac{1}{2}x$

$[4+\frac{2}{3}x]\times6=[9+\frac{1}{2}x]\times6$

$24+\frac{12}{3}x=[9+\frac{1}{2}x]\times6$

$24+4x=[9+\frac{1}{2}x]\times6$

$24+4x=54+\frac{6}{2}x$

$24+4x=54+3x$

$24+4x-3x=54+3x-3x$

$24+1x=54+3x-3x$

$24+x=54+3x-3x$

$24+x=54+0x$

$24+x=54+0$

$24+x=54$

$24+x-24=54-24$

$x-0=54-24$

$x=54-24$

$x=30$