Question

Find the value of the variable.

2.$8+c=13$

Short answer

The value of the variable is $\mathit{c}\mathbf{=}\mathbf{5}$.

Step-by-step solution

Step 1. Subtract 8.

To find the value of the variable c in the equation $8+c=13$, subtract 8 from both sides of the equation.

$8+c-\left(8\right)=13-\left(8\right)$

Step 2. Collect like terms.

Remove all the brackets and collect the like terms.

$c+8-8=13-8$

Step 3. Simplify the equation.

To further simplify, combine the like terms.

$$\begin{gathered} c+8-8=13-8 \\ c-0=5 \\ c=5 \end{gathered}$$

Step 4. Verify the value.

In order to verify the value, substitute 5 for c into the equation $8+c=13$.

$$\begin{gathered} 8+\left(5\right)=13 \\ 13=13\text{True} \end{gathered}$$

Hence, the value of the variable is $c=5$.