Solve the linear equations. `x + 7 - (8 x)/3 = (17)/6 - (5 x)/2`

Explanation

To solve the linear equation \( x + 7 - \frac{8x}{3} = \frac{17}{6} - \frac{5x}{2} \), we will follow these steps:

### Step 1: Eliminate the fractions
To eliminate the fractions, we can find the least common multiple (LCM) of the denominators, which are 3 and 2. The LCM of 3 and 2 is 6. We will multiply every term in the equation by 6.

\[ 6 \left( x + 7 - \frac{8x}{3} \right) = 6 \left( \frac{17}{6} - \frac{5x}{2} \right) \]
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