Question

Algebra Basics Solve the equation. Check your solution.

(Lessons 2.5, 2.6)

$d-10=10$

Short answer

The value of the variable is $d=20$.

Step-by-step solution

Step 1  . Add 14.

To find the value of variable c in the equation $d-10=10$$d-10=10$, add 14 from both sides of the equation.

$d-10+\left(10\right)=10+\left(10\right)$

Step 2  . Collect like terms.

Remove all the brackets and collect the like terms.

$d-10+10=10+10$

Step 3  . Simplify the equation.

To further simplify, combine the like terms.

$\begin{array}{c}d-10+10=10+10\\ d+0=20\\ d=20\end{array}$

Step 4  .Verify the value.

In order to verify the value of variable d, substitute 20 for d into the equation$d-10=10$ .

$\begin{array}{c}\left(20\right)-10=10\\ 10=10\text{True}\end{array}$

Hence, the value of the variable is $d=20$.