Answer
$x=2$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
19-(2x+3)=2(x+3)+x
$, is
\begin{array}{l}
19-2x-3=2x+6+x
\\\\
-2x-2x-x=6-19+3
\\\\
-5x=-10
\\\\
x=\dfrac{-10}{-5}
\\\\
x=2
.\end{array}
CHECKING:
\begin{array}{l}
19-(2\cdot2+3)=2(2+3)+2
\\\\
19-(4+3)=2(5)+2
\\\\
19-7=10+2
\\\\
12=12
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=2
$.
