Question

the value of x which satisfies the equation 2/3x-2=3/x-6 is ​

Answer 1

Answer:

2/3x-2=3/x-6

2/3x-3/x=-6+2

2-9/3x=-4 (taken LCM of 3x and x)

-7/3x=-4

-7=-12x

x=-7/-12 (minus sign will cut)

x=7/12

Answer 2

Answer:

$\frac{-6}{7}$

Step-by-step explanation:

$\begin{array}{l}\frac{2}{3x-2}\ =\ \frac{3}{x-6}\\=\ \left(x-6\right)\ \left(2\right)\ =\ \left(3x-2\right)\left(3\right)\\=\ 2x-12\ =\ 9x\ -\ 6\\=\ 2x-9x\ =\ 12-6\\=\ -7x\ \ \ \ \ =\ 6\\=\ x\ \ \ \ \ \ \ \ \ \ \ \ =-\frac{6}{7}\end{array}$