Question

Solve each equation. Check your solution. (Lesson 2-3)

$2x+5=13$

Short answer

The solutions of the equation is $x=4$.

Step-by-step solution

Step 1. Given equation.

$2x+5=13$

Step 2. Description of step.

First solve the equation as:

$\begin{array}{c}2x+5=13\\ 2x+5-5=13-5\\ 2x=8\\ x=\frac{8}{2}\\ x=4\end{array}$

Thus, $x=4$.

Step 3. Check solution.

Now, in order to check the solution, substitute the value of x as 4 in the given equation and see if makes the equation true, i.e. whether left hand side is equals to right hand side.

Substituting $x=4$in original equation:

$\begin{array}{c}2x+5=13\\ 2\left(4\right)+5=13\\ 8+5=13\\ 13=13\\ \Rightarrow \text{true}\end{array}$

Thus $x=4$is satisfies the given equation.