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.