To solve the equation \(5j = 3j - 8\), we want to move all of the \(j\) terms to one side of the equation. The best move to do this is:
Subtract \(3j\) from both sides.
This results in:
\[ 5j - 3j = -8 \]
Simplifying the left side gives:
\[ 2j = -8 \]
Now you can divide both sides by 2 to solve for \(j\):
\[ j = -4 \]
So, the value of \(j\) is \(-4\).