Answer
The value of $x=\frac{D-By}{\left( A-C \right)}$.
Work Step by Step
The provided equation is $Ax+By=Cx+D$.
And to solve for x, take all the terms that contain x on one side:
$\begin{align}
& Ax+By=Cx+D \\
& Ax-Cx=D-By
\end{align}$
Then, solve for x:
$\begin{align}
& Ax-Cx=D-By \\
& x\left( A-C \right)=D-By \\
& x=\frac{D-By}{\left( A-C \right)}
\end{align}$
Thus, the value of $x=\frac{D-By}{\left( A-C \right)}$.
