Answer
The value of x is $x=-12$
Work Step by Step
Let us consider the equation
$\frac{x-3}{5}-\frac{x-4}{2}=5$.
Then
$\begin{align}
& \frac{2x-6-5x+20}{10}=5 \\
& -3x+14=50 \\
& -3x=36 \\
& x=-12
\end{align}$
Put the value of x in the equation.
Thus
$\begin{align}
& \frac{\left( -12 \right)-3}{5}-\frac{\left( -12 \right)-4}{2}=5 \\
& \frac{-15}{5}-\frac{\left( -16 \right)}{2}=5 \\
& -3+8=5 \\
& 5=5
\end{align}$
Hence, the value of x is checked.
Hence, $x=-12$
