Answer :
We have the following expression given:
[tex]-\frac{5}{6}x-\frac{1}{9}x=-102[/tex]We can start finding the LCM between 6 and 9 and we can do this:
6= 3*2
9= 3*3
So then LCM = 3*2*3= 18
And w can solve the division on this way:
[tex]-\frac{3\cdot5+2\cdot1}{18}x=-\frac{17}{18}x=-102[/tex]Now we can multiply both sides of the equation by -18 and we got:
17x = -102 *(-18)
17 x= 1836
And dividing both sides by 17 we got:
x = 1836/17= 108
Then the final answer would be x= 108