3/22х-4/33=-7/22х+41/33

To solve the equation \( \frac{3}{22}x - \frac{4}{33} = -\frac{7}{22}x + \frac{41}{33} \), we can start by combining like terms on both sides:

\[ \frac{3}{22}x + \frac{7}{22}x = \frac{4}{33} + \frac{41}{33} \]

Simplify the fractions:

\[ \frac{10}{22}x = \frac{45}{33} \]

Now, we can further simplify the equation by dividing both sides by 10/22:

\[ x = \frac{45}{33} \times \frac{22}{10} \]

\[ x = \frac{99}{10} \]

Therefore, the solution to the equation is \( x = \frac{99}{10} \) or 9.9.