Question

Write the verbal sentence as an equation. Also, solve the equation

“Twice a number plus $5$ is equal to $27$.”

Short answer

The equation is$2x+5=27$ and the solution of inequality is $x=11$.

Step-by-step solution

Step 1. Apply the concept of linear equations

In this, simply use the concept of understanding the problem and their words very carefully and also take a suitable variable to make equation and also do various mathematical operation to get the solution.

Step 2. Find the inequality by explaining the statement

Here, The statement Twice a number plus $5$ is equal to $27$

From the above, Let the number be x.

Then, according to statement of question, the inequality is $2x+5=27$.

Step 3. Finding the solution of equation for x

Now, The inequality is $2x+5=27$.

Simply subtract $5$, to both side of the equation,

$\begin{array}{l}2x+5=27\\ 2x+5-5=27-5\\ 2x=22\\ x=\frac{22}{2}\\ x=11\end{array}$