Question

solve for u. 5u = 48 - 3u simplify your answer as much as possible.

Explanation:

Step1: Add 3u to both sides

To isolate the variable \( u \), we add \( 3u \) to both sides of the equation \( 5u = 48 - 3u \). This gives us \( 5u + 3u = 48 - 3u + 3u \), which simplifies to \( 8u = 48 \).

Step2: Divide both sides by 8

Now, we divide both sides of the equation \( 8u = 48 \) by 8 to solve for \( u \). So, \( u=\frac{48}{8} \).

Step3: Simplify the fraction

Simplifying \( \frac{48}{8} \), we get \( u = 6 \).

Answer:

\( u = 6 \)