Question

Решите уравнение: (3/5 x-2/3)*15=8

Answer 1

$( \frac{3}{5}x- \frac{2}{3})*15=8 \\ \\ \frac{3}{5}x *15- \frac{2}{3} *15=8 \\ \\ 9x-10=8 \\ \\ 9x=10+8 \\ 9x=18 \\ x=18:9 \\ x=2$

Answer 2

$( \frac{3}{5} x- \frac{2}{3} )*15=8$
$\frac{3}{5} x- \frac{2}{3} = \frac{8}{15}$
$\frac{3}{5} x = \frac{8}{15} +\frac{2}{3}$
$\frac{3}{5} x = \frac{8}{15} +\frac{2*5}{3*5}$
$\frac{3}{5} x = \frac{8}{15} +\frac{10}{15}$
$\frac{3}{5} x = \frac{18}{15}$
$x = \frac{18}{15} : \frac{3}{5}$
$x = \frac{18}{15} * \frac{5}{3}$
$x = \frac{18*5}{15*3}$
$x = \frac{90}{45}$
$x=2$