Question

$$x- \frac{ 3 }{ 4 } =-2x$$

Answer

x=1/4

Solution


Subtract \(x\) from both sides.
\[-\frac{3}{4}=-2x-x\]
Simplify  \(-2x-x\)  to  \(-3x\).
\[-\frac{3}{4}=-3x\]
Divide both sides by \(-3\).
\[\frac{-\frac{3}{4}}{-3}=x\]
Two negatives make a positive.
\[\frac{\frac{3}{4}}{3}=x\]
Simplify  \(\frac{\frac{3}{4}}{3}\)  to  \(\frac{3}{4\times 3}\).
\[\frac{3}{4\times 3}=x\]
Simplify  \(4\times 3\)  to  \(12\).
\[\frac{3}{12}=x\]
Simplify  \(\frac{3}{12}\)  to  \(\frac{1}{4}\).
\[\frac{1}{4}=x\]
Switch sides.
\[x=\frac{1}{4}\]

Decimal Form: 0.25