Solve for \(x\) in \(5x+9=5+3x\).
Solve for \(x\).
\[5x+9=5+3x\]
Subtract \(5\) from both sides.
\[5x+9-5=3x\]
Simplify \(5x+9-5\) to \(5x+4\).
\[5x+4=3x\]
Subtract \(5x\) from both sides.
\[4=3x-5x\]
Simplify \(3x-5x\) to \(-2x\).
\[4=-2x\]
Divide both sides by \(-2\).
\[-\frac{4}{2}=x\]
Simplify \(\frac{4}{2}\) to \(2\).
\[-2=x\]
Switch sides.
\[x=-2\]
Substitute \(x=-2\) into \(8x+4=3(x-1)+7\).
Since \(-12=-2\) is not true, this is an inconsistent system.
