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

Explanation

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

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

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