Question

$$3(x+2)-8x=x+9$$

Answer

x=-1/2

Solution


Expand.
\[3x+6-8x=x+9\]
Simplify  \(3x+6-8x\)  to  \(-5x+6\).
\[-5x+6=x+9\]
Add \(5x\) to both sides.
\[6=x+9+5x\]
Simplify  \(x+9+5x\)  to  \(6x+9\).
\[6=6x+9\]
Subtract \(9\) from both sides.
\[6-9=6x\]
Simplify  \(6-9\)  to  \(-3\).
\[-3=6x\]
Divide both sides by \(6\).
\[-\frac{3}{6}=x\]
Simplify  \(\frac{3}{6}\)  to  \(\frac{1}{2}\).
\[-\frac{1}{2}=x\]
Switch sides.
\[x=-\frac{1}{2}\]

Decimal Form: -0.5