Question

Algebra Basics Solve the equation. Check your solution.

(Lessons 2.5, 2.6)

$c-14=18$

Short answer

The value of the variable is $c=32$.

Step-by-step solution

Step 1  . Add 14.

To find the value of variable c in the equation $c-14=18$, add 14 from both sides of the equation.

$c-14+\left(14\right)=18+\left(14\right)$

Step 2  .Collect like terms.

Remove all the brackets and collect the like terms.

$c-14+14=18+14$

 . Simplify the equation.

To further simplify, combine the like terms.

$\begin{array}{c}c-14+14=18+14\\ c+0=32\\ c=32\end{array}$

Step 4  .Verify the value.

In order to verify the value of variable c, substitute 32 for c into the equation $c-14=18$.

$\begin{array}{c}\left(32\right)-14=18\\ 18=18\text{True}\end{array}$

Hence, the value of the variable is $c=32$.