Solve for \(x\) in \(4(2x-5)=3(2x+18)\).
Solve for \(x\).
\[4(2x-5)=3(2x+18)\]
Expand.
\[8x-20=6x+54\]
Add \(20\) to both sides.
\[8x=6x+54+20\]
Simplify \(6x+54+20\) to \(6x+74\).
\[8x=6x+74\]
Subtract \(6x\) from both sides.
\[8x-6x=74\]
Simplify \(8x-6x\) to \(2x\).
\[2x=74\]
Divide both sides by \(2\).
\[x=\frac{74}{2}\]
Simplify \(\frac{74}{2}\) to \(37\).
\[x=37\]
Substitute \(x=37\) into \(2(x+5)-8(x-6)=10\).
Since \(-164=10\) is not true, this is an inconsistent system.
