Question

Find the value of the variable.

$c-15=12$

Short answer

The value of the variable is $\mathit{c}\mathbf{=}\mathbf{17}$.

Step-by-step solution

Step 1. Add 5.

To find the value of the variable in the equation $c-5=12$, add 5 to both sides of the equation.

$c-5+\left(5\right)=12+\left(5\right)$

Step 2. Collect like terms.

Remove all the brackets and collect the like terms.

$c-5+5=12+5$

Step 3. Simplify the equation.

To further simplify, combine the like terms.

$$\begin{gathered} c-5+5=12+5 \\ c-0=17 \\ c=17 \end{gathered}$$

Step 4. Verify the value.

In order to verify the value, substitute 17 for c into the equation $c-5=12$.

$$\begin{gathered} \left(17\right)-5=12 \\ 12=12\text{True} \end{gathered}$$

Hence, the value of the variable is $c=17$.