please solve step by step

For the problem

x=8/(9x+9)=11

First, you can cross multiply. Then, you get 8=99x+99 (99x+99) comes from distributing the 11 to 9x and to 9

8=99x+99

-99 -99(subtract 99 from both sides of the equation in order to isolate x)

You will get -91=99x

You can now divide both sides of this equation by 99 and then you can solve for x

(-91/99)=(99x/99)

(-91/99)=x

You can check your answer by plugging its value into the original equation. If you get 11=11, then you have the right value for x.