Question

solve for x.
$-\frac{5}{2}x = -15$
simplify your answer as much as possible.
$x = \square$

Explanation:

Step1: Multiply both sides by -2/5

To isolate \( x \), we multiply both sides of the equation \( -\frac{5}{2}x = -15 \) by the reciprocal of \( -\frac{5}{2} \), which is \( -\frac{2}{5} \). So we have:
\( -\frac{2}{5} \times (-\frac{5}{2}x) = -\frac{2}{5} \times (-15) \)

Step2: Simplify both sides

On the left side, \( -\frac{2}{5} \times (-\frac{5}{2}) = 1 \), so we get \( x \). On the right side, \( -\frac{2}{5} \times (-15) = \frac{30}{5} = 6 \).

Answer:

\( x = 6 \)