Question

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

“Three more than $4$ times a number is equal to $9$ less than twice the number.”

Short answer

The equation is $3+4x=2x-9$ and the solution of inequality is$x=-6$.

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 Three more than $4$ times a number is equal to $9$ less than twice the number

From the above, Let the number be x.

Then, according to statement of question, the inequality is $3+4x=2x-9$.

Step 3. Finding the solution of equation for x

Now, the inequality is $3+4x=2x-9$.

Simply Take the variable and constant in separate side & do addition then division

$\begin{array}{l}3+4x=2x-9\\ 4x-2x=-9-3\\ 2x=-12\\ x=\frac{-12}{2}\\ x=-6\end{array}$