Questions: -2/3 x=12

Transcript text: $-\frac{2}{3} x=12$

Solution

Solution Steps

To solve the equation $-\frac{2}{3} x = 12$, we need to isolate $x$. This can be done by multiplying both sides of the equation by the reciprocal of $-\frac{2}{3}$, which is $-\frac{3}{2}$.

Step 1: Given Equation

We start with the equation: \[ -\frac{2}{3} x = 12 \]

Step 2: Isolate $x$

To isolate $x$, we multiply both sides of the equation by the reciprocal of $-\frac{2}{3}$, which is $-\frac{3}{2}$: \[ x = 12 \cdot \left(-\frac{3}{2}\right) \]

Step 3: Calculate $x$

Now we perform the multiplication: \[ x = 12 \cdot \left(-\frac{3}{2}\right) = -18.0 \]