#### Answer

The solution of the equation $-2\left( x-5 \right)+10=3\left( x+2 \right)$ is $2.8$.

#### Work Step by Step

Bring all the $ x $ terms on one side and the numbers on the other as given below:
$\begin{align}
& -2\left( x-5 \right)+10=3\left( x+2 \right) \\
& -2x+10+10=3x+6 \\
& 3x+2x=10+10-6 \\
& 5x=14
\end{align}$
By simplifying further, one gets:
$\begin{align}
& x=\frac{14}{5} \\
& x=2.8
\end{align}$
Thus, the solution of the equation is $2.8$.