Question

solve for x.
-2x = 6
x = ?

Explanation:

Step1: Divide both sides by -2

To solve for \( x \) in the equation \( -2x = 6 \), we divide both sides of the equation by \(-2\). This is because we want to isolate \( x \), and dividing by the coefficient of \( x \) (which is \(-2\)) will give us the value of \( x \). The operation is \( \frac{-2x}{-2}=\frac{6}{-2} \).

Step2: Simplify both sides

Simplifying the left side, \( \frac{-2x}{-2} \) simplifies to \( x \). Simplifying the right side, \( \frac{6}{-2} \) equals \(-3\). So we get \( x = -3 \).

Answer:

\( -3 \)