Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $45x$, the least common multiple of $9x,15$.
$$5\left(7-6x\right)=3x$$
Use the distributive property to multiply $5$ by $7-6x$.
$$35-30x=3x$$
Subtract $3x$ from both sides.
$$35-30x-3x=0$$
Combine $-30x$ and $-3x$ to get $-33x$.
$$35-33x=0$$
Subtract $35$ from both sides. Anything subtracted from zero gives its negation.
$$-33x=-35$$
Divide both sides by $-33$.
$$x=\frac{-35}{-33}$$
Fraction $\frac{-35}{-33}$ can be simplified to $\frac{35}{33}$ by removing the negative sign from both the numerator and the denominator.
