Answer
\[x=2\]
Work Step by Step
Consider the equation,\[5x-3=x+5\]
Subtract \[x\]from both sides to get,
\[4x-3=5\]
Add \[3\]both sides to get,
\[4x=8\]
Divide both sides by 4 to get,
\[x=2\]
Now, to check it, put \[x=2\]in the equation,\[5x-3=x+5\]as follows:
\[\begin{align}
& 5\left( 2 \right)-3=2+5 \\
& 10-3=7 \\
& 7=7
\end{align}\]
Which is true.
Hence, the solution of the given equation is\[x=2\].