## Introductory Algebra for College Students (7th Edition)

$$x = -6$$
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 $x$: $$x = -6$$