## Precalculus (6th Edition) Blitzer

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