Solve for x -(3/2)^x+12=2x-3

$- {(\frac{3}{2})}^{x} + 12 = 2 x - 3$

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

$- \frac{3^{x}}{2^{x}} + 12 = 2 x - 3$

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

$x \approx 4.45541017$