Question

solve for x.
\frac{5}{2}x = 30
simplify your answer as much as possible.
x = \square

Explanation:

Step1: Multiply both sides by 2/5

To solve for \( x \) in the equation \( \frac{5}{2}x = 30 \), we multiply both sides by the reciprocal of \( \frac{5}{2} \), which is \( \frac{2}{5} \). This gives us \( x = 30 \times \frac{2}{5} \).

Step2: Simplify the right side

Calculate \( 30 \times \frac{2}{5} \). We can rewrite 30 as \( \frac{30}{1} \), so \( \frac{30}{1} \times \frac{2}{5} = \frac{30 \times 2}{1 \times 5} = \frac{60}{5} = 12 \).

Answer:

\( x = 12 \)