[tex]\displaystyle\\
834-((6\times4+6\times6):x))+324=1148 \\ \\ \\
834-\frac{6\times4+6\times6}{x} +324=1148 \\ \\ \\
-\frac{6\times4+6\times6}{x} +324+834=1148 \\ \\ \\
-\frac{24+36}{x} +1158=1148 \\ \\ \\
-\frac{60}{x} =1148 -1158\\ \\ \\
-\frac{60}{x} =-10 ~~~~~\Big| \times (-1) \\ \\ \\
\frac{60}{x} =10 \\ \\ \\
x = \frac{60}{10} = \boxed{6}
[/tex]