Question

Algebra Basics Solve the equation. Check your solution. (Lesson 2.5)

C – 20 = 14

Short answer

The solution is $c=34$

Step-by-step solution

Step 1. Given

The given equation is $c-20=14$.

Step 2. To determine

We have to find the value of c.

Step 3. Calculation

The given equation is:

$\begin{array}{l}c-20=14\text{writetheoriginalequation}\\ c-20+20=14+20\text{add20tobothsides}\\ c=34\text{simplify}\end{array}$

To check we will substitute $c=34$ in left-hand-side of the equation. If left-hand-side equal right-hand-side then we can say that the solution is correct.

$\begin{array}{l}c-20\text{(Writeoriginalequation)}\\ 34-20\text{(Substitute}c=34\text{)}\\ 14\text{(Simplify)}\end{array}$

So, we see that, both sides are equal.

Therefore, the solution is $c=34$.