Solve for: (k+5)/(5)=(5)/(2)

Expression: $\frac{ k+5 }{ 5 }=\frac{ 5 }{ 2 }$

Simplify the equation using cross-multiplication

$2\left( k+5 \right)=25$

Distribute $2$ through the parentheses

$2k+10=25$

Move the constant to the right-hand side and change its sign

$2k=25-10$

Subtract the numbers

$2k=15$

Divide both sides of the equation by $2$

$\begin{align*}&k=\frac{ 15 }{ 2 } \\&\begin{array} { l }k=7 \frac{ 1 }{ 2 },& k=7.5\end{array}\end{align*}$