please show the steps for how to solve c in 5/2=1/3(c-2)

\(\frac52=\frac13(c-2)\)

 

Divide both sides by \( \frac13 \)

\( \frac52 \div \frac13 = c-2 \)

 

Keep, change, flip.

\( \frac52 \cdot \frac31 = c - 2 \)

 

Multiply the fractions together.

\(\frac{15}{2}=c-2 \)

 

Add 2 to both sides.

\(\frac{15}{2}+2=c \\~\\ \frac{19}{2} = c \\~\\ 9.5 = c\)