Question

What number must be multiplied on both sides in order to isolate x on the left side of the​ equation?
negative three halves x equals negative 8
Do not actually solve the equation.
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Part 1
Multiply by
  
enter your response here.   ​(Type an integer or a simplified​ fraction.)

Answer 1

To isolate \( x \) in the equation \( -\frac{3}{2} x = -8 \), you need to multiply both sides by the reciprocal of the coefficient of \( x \), which is \( -\frac{3}{2} \).

The reciprocal of \( -\frac{3}{2} \) is \( -\frac{2}{3} \).

Therefore, you should multiply both sides by:

\[
-\frac{2}{3}
\]

So the answer is:

\[
-\frac{2}{3}
\]