Solve the equation and check your result. `(2 x)/3 + 1 = (7 x)/(15) + 3`

Explanation

To solve the equation \( \frac{2x}{3} + 1 = \frac{7x}{15} + 3 \) and check the result, we will follow these steps:

### Step 1: Eliminate the fractions
To eliminate the fractions, we can multiply both sides of the equation by 15, which is the least common multiple of the denominators (3 and 15).

\[ 15 \left( \frac{2x}{3} + 1 \right) = 15 \left( \frac{7x}{15} + 3 \right) \]
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