Solve for x -2x+6=-(2/3)^x+5

$- 2 x + 6 = - {(\frac{2}{3})}^{x} + 5$

Apply the product rule to $\frac{2}{3}$ .

$- 2 x + 6 = - \frac{2^{x}}{3^{x}} + 5$

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 0.85370415$