Question

$$\frac{ x }{ 3 } -3=3x+7$$

Answer

x=-15/4

Solution


Multiply both sides by \(3\).
\[x-9=9x+21\]
Subtract \(x\) from both sides.
\[-9=9x+21-x\]
Simplify  \(9x+21-x\)  to  \(8x+21\).
\[-9=8x+21\]
Subtract \(21\) from both sides.
\[-9-21=8x\]
Simplify  \(-9-21\)  to  \(-30\).
\[-30=8x\]
Divide both sides by \(8\).
\[-\frac{30}{8}=x\]
Simplify  \(\frac{30}{8}\)  to  \(\frac{15}{4}\).
\[-\frac{15}{4}=x\]
Switch sides.
\[x=-\frac{15}{4}\]

Decimal Form: -3.75