Question

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

“Seven times the sum of $4$ and a number is $-14$.”

Short answer

The equation is $7(x+4)=-14$and the solution of equation is localid="1651670179383" $x=-6$.

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 equation by explaining the statement

Here, The statement Seven times the sum of $4$and a number is $-14$.

From the above, Let the number be x.

Then, according to statement of question, the equation is $7(x+4)=-14$.

Step 3. Finding the solution of equation for x

Now, The inequality is $7(x+4)=-14$.

Simply open the bracket & subtract $28$, to both side of the equation,

$\begin{array}{l}7(x+4)=-14\\ 7x+28=-14\\ 7x+28-28=-14-28\\ 7x=-42\\ x=\frac{-42}{7}\\ x=-6\end{array}$