Чему равен корень уравнения:
1)

\frac{2 x}{3} + \frac{5 x}{4} = 23

;
2)

\frac{x}{6} - \frac{x}{8} = \frac{7}{36}

;
3)

\frac{3 x}{10} - \frac{4}{15} = \frac{x}{6}

Чему равен корень уравнения: 1) 2 x 3 + 5 x 4 = 23 ; 2) x 6 − x 8 = 7 36 ; 3) 3 x 10 − 4 15 = x 6 ?

\frac{2 x}{3} + \frac{5 x}{4} = 23

\frac{8 x + 15 x}{12} = 23

\frac{23}{12} x = 23

x = 23 : \frac{23}{12}

x = 23 * \frac{12}{23}

x = 12

\frac{x}{6} - \frac{x}{8} = \frac{7}{36}

\frac{4 x - 3 x}{24} = \frac{7}{36}

\frac{1}{24} x = \frac{7}{36}

x = \frac{7}{36} : \frac{1}{24}

x = \frac{7}{36} * \frac{24}{1}

x = \frac{14}{3}

x = 4 \frac{2}{3}

\frac{3 x}{10} - \frac{4}{15} = \frac{x}{6}

\frac{3 x}{10} - \frac{x}{6} = \frac{4}{15}

\frac{9 x - 5 x}{30} = \frac{4}{15}

\frac{4}{30} x = \frac{4}{15}

\frac{2}{15} x = \frac{4}{15}

x = \frac{4}{15} : \frac{2}{15}

x = \frac{4}{15} * \frac{15}{2}

x = 2