If `|[3x,7],[-2,4]|`=`|[8,7],[6,4]|` , find the value of `xdot`

Explanation

To solve the equation \( |[3x, 7], [-2, 4]| = |[8, 7], [6, 4]| \), we will first calculate the determinants of both matrices and then set them equal to each other.

### Step 1: Calculate the determinant of the first matrix
The first matrix is:
\[
A = \begin{bmatrix}
3x & 7 \\
-2 & 4
...