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Solve: (17-3x)/5-(4x+2)/3=5-6x+(7x+14)/...

Solve: `(17-3x)/5-(4x+2)/3=5-6x+(7x+14)/3`

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To solve the equation \((17-3x)/5 - (4x+2)/3 = 5 - 6x + (7x+14)/3\), we will follow these steps: ### Step 1: Find a common denominator The denominators in the equation are 5 and 3. The least common multiple (LCM) of 5 and 3 is 15. We will multiply every term in the equation by 15 to eliminate the fractions. \[ 15 \left(\frac{17-3x}{5}\right) - 15 \left(\frac{4x+2}{3}\right) = 15 \left(5 - 6x + \frac{7x+14}{3}\right) \] ...
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