\(697:\frac{15\cdot x+364}{x}=17\)

=> \(\frac{15\cdot x+364}{x}=697:17=41\)

=> \(15\cdot x+364=41x\)

=> \(15x+364=41x\)

=> \(364=41x-15x\)

=> \(364=26x\)

=> \(x=364:26=14\)

\(\Rightarrow\frac{15x+364}{x}=697:17=41\)

\(\Rightarrow15+\frac{364}{x}=41\)

\(\frac{364}{x}=41-15=26\)

x = 364 : 26 = 14

\(\frac{15x+364}{x}=697:17=41\)

\(15x+364=41x\)

\(364=41x-15x\)

\(26x=364\)

\(x=364:26=14\)

\(697:\frac{15x+364}{x}=17\)

=> \(\frac{15x+364}{x}=697:17\)

=> \(\frac{15x+364}{x}=41\)

=> 15x+364=41x

=> 15x-41x+364=0

=> -26x+364=0

=> -26x=-364

=> x=-364:(-26)

=> x=14

x=563

\(697:\frac{15x+364}{x}=17\)

          \(\frac{15x+364}{x}=697:17=41\)

           \(\frac{15x}{x}+\frac{364}{x}=41\)

            \(15+\frac{364}{x}=41\)

                        \(\frac{364}{x}=41-15=26\)

                         \(x=364:26=14\)

\(92.4-27=\frac{x+350}{x}+315\)

      \(\frac{x+350}{x}+315=341\)

                   \(\frac{x+350}{x}=341-315=26\)

                \(\frac{x}{x}+\frac{350}{x}=26\)

                     \(1+\frac{350}{x}=26\)

                              \(\frac{350}{x}=26-1=25\)

                                   \(x=350:25=14\)

697:[(15x+364):x]=17

(15x+364):x=697:17=41

15x+364=41x

364=41x-15x=26x

x=364:26=14

<=> \(\frac{15a+364}{a}=41\Leftrightarrow15a+364=41a\Leftrightarrow26a=364\Rightarrow a=14\)