Answer
$$x = -6$$
Work Step by Step
To solve the equation, we need to isolate $x$. In this problem, we want to multiply by the least common denominator to get rid of the fractions first. The least common denominator for all terms is $15$:
$$15(\frac{x}{5}) - 15(2) = 15(\frac{x}{3})$$
Divide out common denominators to get rid of the fractions:
$$3x - 30 = 5x$$
Subtract $3x$ from each side of the equation to isolate the variable on one side of the equation:
$$5x = -30$$
Divide each side by $5$ to isolate $x$:
$$x = -6$$
