Question

$\frac{x + 3}{5 \sqrt{3} -3 } = \frac{5 \sqrt{3} + 3 }{6}$

Answer 1

( 5√3 - 3) · ( 5√3 + 3 )  = 6x + 18 
25·3  - 3²  = 6x +18 
6x +18 = 75 - 9
6x = 75 - 9 -18 
6x = 48 
x = 48 : 6 = 8

Answer 2

[tex] \frac{x+3}{5\sqrt{3}-3}= \frac{5\sqrt{3}+3}{6} \\ 25*3^{2}=6x+18 \\ 75-9=6x+18 \\ 6x+18=66 \\ 6x=66-18 \\ 6x=48 \\ x=\frac{48}{6} \\ x=8[/tex]