Find $x$ so that $\begin{bmatrix} 2 & 0 & 10 \\ 0 & x+7 & -3 \\ 0 & 4 & x \end{bmatrix} $ is invertible

Find the value of $x$ so that the matrix

$$\begin{bmatrix} 2 & 0 & 10 \\ 0 & x+7 & -3 \\ 0 & 4 & x \end{bmatrix} $$
is invertible. 

Linear Algebra Matrices
Mathfreak Mathfreak
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Erdos Erdos
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