Question

$$3x+4 \times \frac{ 1 }{ -3 } =-12$$

Answer

x=-32/9

Solution


Simplify  \(4\times \frac{1}{-3}\)  to  \(\frac{4}{-3}\).
\[3x+\frac{4}{-3}=-12\]
Move the negative sign to the left.
\[3x-\frac{4}{3}=-12\]
Add \(\frac{4}{3}\) to both sides.
\[3x=-12+\frac{4}{3}\]
Simplify  \(-12+\frac{4}{3}\)  to  \(-\frac{32}{3}\).
\[3x=-\frac{32}{3}\]
Divide both sides by \(3\).
\[x=-\frac{\frac{32}{3}}{3}\]
Simplify  \(\frac{\frac{32}{3}}{3}\)  to  \(\frac{32}{3\times 3}\).
\[x=-\frac{32}{3\times 3}\]
Simplify  \(3\times 3\)  to  \(9\).
\[x=-\frac{32}{9}\]

Decimal Form: -3.555556