$$ \frac{3 x-3}{15}+\frac{5 x-5}{3}=\square $$ (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\frac{3x - 3}{15} + \frac{5x - 5}{3}
$$

**Step 1:** Factor out common terms in the numerators.

$$
\frac{3(x - 1)}{15} + \frac{5(x - 1)}{3}
$$

**Step 2:** Simplify the fractions.

$$
\frac{x - 1}{5} + \frac{5(x - 1)}{3}
$$

**Step 3:** Find a common denominator, which is 15 in this case.

$$
\frac{3(x - 1)}{15} + \frac{25(x - 1)}{15}
$$

**Step 4:** Combine the fractions.

$$
\frac{3(x - 1) + 25(x - 1)}{15} = \frac{28(x - 1)}{15} = \frac{28x - 28}{15}
$$

**Final Simplified Expression:**

$$
\boxed{\dfrac{28x - 28}{15}}
$$
The simplified expression is $$ \frac{28x - 28}{15} $$.

(Simplify your answer. Use integers or fractions for any numbers in the expression.)