Solve for \(x\) in \(8x+3=x+24\).
Solve for \(x\).
\[8x+3=x+24\]
Subtract \(3\) from both sides.
\[8x=x+24-3\]
Simplify \(x+24-3\) to \(x+21\).
\[8x=x+21\]
Subtract \(x\) from both sides.
\[8x-x=21\]
Simplify \(8x-x\) to \(7x\).
\[7x=21\]
Divide both sides by \(7\).
\[x=\frac{21}{7}\]
Simplify \(\frac{21}{7}\) to \(3\).
\[x=3\]
Substitute \(x=3\) into \(-5x+6=3x-2\).
Since \(-9=7\) is not true, this is an inconsistent system.
