Question

Find the value of the variable.

$12=\frac{e}{2}$

Short answer

The value of the variable is $\mathit{e}\mathbf{=}\mathbf{24}$.

Step-by-step solution

Step 1. Multiply by 2.

To find the value of the variable in the equation $12=\frac{e}{2}$, multiply both sides of the equation by 2.

$12\times 2=\frac{e}{2}\times 2$

Step 2. Simplify the equation.

To further simplify, cancel the common factor of 2 on the right-hand side of the equation.

$\begin{array}{l}12\times 2=\frac{e}{\cancel{2}}\times \cancel{2}\\ 24=e\end{array}$

Step 3. Verify the value.

In order to verify the value of e, substitute 24 for into the equation $12=\frac{e}{2}$.

$\begin{array}{l}12=\frac{24}{2}\\ 12=12\text{True}\end{array}$

Hence, the value of the variable is $e=24$.