Question

Solve the equation and check the solution.

$x-6=-20$

Short answer

The solution is $x=-14$.

Step-by-step solution

Step 1- Consider the equation.

Consider the equation $x-6=-20$.

Add 20 on both sides of the equation.

Step 2- Step description.

$\begin{array}{l}x-6=-20\\ x-6+20=-20+20\\ x+14=0\end{array}$

Step 3- Step description

Subtract $-14$from both sides of the equation as follows:

$\begin{array}{l}x+14=0\\ x+14-14=-14\\ x=-14\end{array}$

Therefore, the solution is $x=-14$.

Step 4- Verify the solution.

Substitute $x=-14$in the equation and simplify as follows:

$\begin{array}{c}x-6=-20\\ -14-6=-20\\ -20=-20\end{array}$

Since the left-hand side of the equation is equal to the right-hand side of the equation, therefore, the solution is $x=-14$.