Break down the problem into these 2 equations.
\[2x-1=9\]
\[2x-1=x\]
Solve the 1st equation: \(2x-1=9\).
Add \(1\) to both sides.
\[2x=9+1\]
Simplify \(9+1\) to \(10\).
\[2x=10\]
Divide both sides by \(2\).
\[x=\frac{10}{2}\]
Simplify \(\frac{10}{2}\) to \(5\).
\[x=5\]
\[x=5\]
Solve the 2nd equation: \(2x-1=x\).
Subtract \(2x\) from both sides.
\[-1=x-2x\]
Simplify \(x-2x\) to \(-x\).
\[-1=-x\]
Multiply both sides by \(-1\).
\[1=x\]
Switch sides.
\[x=1\]
\[x=1\]
Collect all solutions.
\[x=5,1\]
x=5,1
