[tex]1)\\\\17-5(2x-9)=-(6x+10)+4\\\\ 17-10x+45=- 6x-10 +4\\\\ -10x+ 6x=-10 +4-17-45\\\\-4x=-68\ \ / :(-4)\\\\x=17[/tex]
[tex]2)\\\\-(x-7)+\frac{5}{3} =2(x+9)\\\\- x+7 +\frac{5}{3} =2 x+18\\\\- x-2 x=18-\frac{5}{3}-7\\\\-3x=11-\frac{5}{3}\\\\-3x= \frac{33}{3}-\frac{5}{3}\\\\-3x= \frac{28}{3} \ \ / *(-\frac{1}{3})\\\\ x=-\frac{28}{9}\\\\x=-3\frac{1}{9}[/tex]
[tex]3)\\\\\frac{4}{9} +4(x-1)=\frac{28}{9} -(x-7x)+1\\\\\frac{4}{9} +4 x-4=\frac{28}{9}+6x+1\\\\ 4 x-6x=\frac{28}{9} +1- \frac{4}{9}+4 \\\\ -2x=\frac{28}{9} + \frac{9}{9}- \frac{4}{9}+ \frac{36}{9} \\\\ -2x=\frac{69}{9} \ \ / *(-\frac{1}{2}) \\\\x=-\frac{69}{18}\\\\x=-\frac{23}{6} \\\\x=-3\frac{5}{6} [/tex]
[tex]4)\\\\ 5(3x+4)-2x=7x-3(-2x+11)\\\\15x+20-2x=7x+6x-33\\\\15x -2x-7x-6x=-33-20\\\\0 \neq -53 \\ \\false[/tex]
