Question

$$-4x+18=20x+150$$

Answer

x=-11/2

Solution


Add \(4x\) to both sides.
\[18=20x+150+4x\]
Simplify  \(20x+150+4x\)  to  \(24x+150\).
\[18=24x+150\]
Subtract \(150\) from both sides.
\[18-150=24x\]
Simplify  \(18-150\)  to  \(-132\).
\[-132=24x\]
Divide both sides by \(24\).
\[-\frac{132}{24}=x\]
Simplify  \(\frac{132}{24}\)  to  \(\frac{11}{2}\).
\[-\frac{11}{2}=x\]
Switch sides.
\[x=-\frac{11}{2}\]

Decimal Form: -5.5