Solve the following equation for \( x \) \[ y=\frac{2}{13} x(c+d) \] \( x=\square \) (Simplify your answer.)

To solve for \( x \) in the equation \[ y = \frac{2}{13} x(c + d), \] first, we need to isolate \( x \). We can do this by multiplying both sides of the equation by \(\frac{13}{2}\) to get rid of the fraction: \[ \frac{13}{2} y = x(c + d). \] Now, to solve for \( x \), divide both sides by \( c + d \) (assuming \( c + d \neq 0 \)): \[ x = \frac{\frac{13}{2} y}{c + d}. \] This simplifies to: \[ x = \frac{13y}{2(c + d)}. \] Thus, the simplified answer is \( x = \frac{13y}{2(c + d)} \).