Chapter 8.2, Problem 43E

To determine

To solve:

The given equation. Check your solution.

Answer to Problem 43E

The solution of our given equation would be $x=-6$ .

Explanation of Solution

Given:

An equation: $2x+5=-7$ .

Calculation:

To solve our given equation, we use opposite operations as shown below:

  $\begin{array}{l}2x+5=-7\left(\text{Given equation}\right)\\ 2x+5-5=-7-5\left(\text{Subtracting 5 from both sides}\right)\\ 2x=-12\\ \frac{2x}{2}=-\frac{12}{2}\\ x=-6\end{array}$

Let us verify our answer by substituting $x=-6$ in our original equation.

  $\begin{array}{l}2x+5=-7\\ 2(-6)+5=-7\\ -12+5=-7\\ -7=-7\end{array}$

Since both sides of equation are equal, therefore, $x=-6$ is a solution of our given equation.