Question

$$x(- \frac{ 1 }{ 3 } )=3(- \frac{ 1 }{ 3 } )+1$$

Answer

x=0

Solution


Remove parentheses.
\[x\times \frac{-1}{3}=3\times \frac{-1}{3}+1\]
Move the negative sign to the left.
\[-\frac{x}{3}=3\times \frac{-1}{3}+1\]
Cancel \(3\).
\[-\frac{x}{3}=-1+1\]
Simplify  \(-1+1\)  to  \(0\).
\[-\frac{x}{3}=0\]
Multiply both sides by \(3\).
\[-x=0\times 3\]
Simplify  \(0\times 3\)  to  \(0\).
\[-x=0\]
Multiply both sides by \(-1\).
\[x=0\]