Variable $x$ cannot be equal to $\frac{3}{11}$ since division by zero is not defined. Multiply both sides of the equation by $3\left(11x-3\right)$, the least common multiple of $2x-\left(3-9x\right),3$.
$$3\times 6=2\left(11x-3\right)$$
Multiply $3$ and $6$ to get $18$.
$$18=2\left(11x-3\right)$$
Use the distributive property to multiply $2$ by $11x-3$.
$$18=22x-6$$
Swap sides so that all variable terms are on the left hand side.
$$22x-6=18$$
Add $6$ to both sides.
$$22x=18+6$$
Add $18$ and $6$ to get $24$.
$$22x=24$$
Divide both sides by $22$.
$$x=\frac{24}{22}$$
Reduce the fraction $\frac{24}{22}$ to lowest terms by extracting and canceling out $2$.
