4. Решите уравнение: 0) (x+2)-4=1; 18-x)-2-1 а) 10 11 11 5 27 25-125 27 27 6)

4. Решите уравнение:

1. $$(\frac{9}{11}x+2\frac{10}{11})-4\frac{4}{11}=1$$
   $$\frac{9}{11}x+2\frac{10}{11}=1+4\frac{4}{11}$$
   $$\frac{9}{11}x+2\frac{10}{11}=5\frac{4}{11}$$
   $$\frac{9}{11}x=5\frac{4}{11}-2\frac{10}{11}$$
   $$\frac{9}{11}x=4\frac{15}{11}-2\frac{10}{11}$$
   $$\frac{9}{11}x=(4-2)+(\frac{15}{11}-\frac{10}{11})$$
   $$\frac{9}{11}x=2+\frac{5}{11}$$
   $$\frac{9}{11}x=2\frac{5}{11}$$
   $$\frac{9}{11}x=\frac{27}{11}$$
   $$x=\frac{27}{11}:\frac{9}{11}$$
   $$x=\frac{27}{11}\cdot \frac{11}{9}$$
   $$x=\frac{27}{9}=3$$
   Ответ: $$x=3$$
2. $$(\frac{8}{25}x-2\frac{5}{27})-2\frac{8}{27}=1$$
   $$\frac{8}{25}x-2\frac{5}{27}=1+2\frac{8}{27}$$
   $$\frac{8}{25}x-2\frac{5}{27}=3\frac{8}{27}$$
   $$\frac{8}{25}x=3\frac{8}{27}+2\frac{5}{27}$$
   $$\frac{8}{25}x=(3+2)+(\frac{8}{27}+\frac{5}{27})$$
   $$\frac{8}{25}x=5+\frac{8+5}{27}$$
   $$\frac{8}{25}x=5+\frac{13}{27}$$
   $$\frac{8}{25}x=5\frac{13}{27}$$
   $$\frac{8}{25}x=\frac{5\cdot27+13}{27}$$
   $$\frac{8}{25}x=\frac{135+13}{27}$$
   $$\frac{8}{25}x=\frac{148}{27}$$
   $$x=\frac{148}{27}:\frac{8}{25}$$
   $$x=\frac{148}{27}\cdot \frac{25}{8}$$
   $$x=\frac{37}{27}\cdot \frac{25}{2}$$
   $$x=\frac{925}{54}=17\frac{7}{54}$$
   Ответ: $$x=17\frac{7}{54}$$