6) 4,625-\left(3\frac{1}{12}-x\right)=1\frac{23}{24}.

б) $$4,625-\left(3\frac{1}{12}-x\right)=1\frac{23}{24}$$

$$4,625-\left(\frac{37}{12}-x\right)=\frac{47}{24}$$

$$\frac{37}{12}-x=4,625-\frac{47}{24}$$

$$\frac{37}{12}-x=\frac{4625}{1000}-\frac{47}{24}$$

$$\frac{37}{12}-x=\frac{37}{8}-\frac{47}{24}$$

$$\frac{37}{12}-x=\frac{37\cdot3-47}{24}$$

$$\frac{37}{12}-x=\frac{111-47}{24}$$

$$\frac{37}{12}-x=\frac{64}{24}$$

$$\frac{37}{12}-x=\frac{8}{3}$$

$$x=\frac{37}{12}-\frac{8}{3}$$

$$x=\frac{37-32}{12}$$

$$x=\frac{5}{12}$$

Ответ: $$\frac{5}{12}$$