Question

Write the verbal sentence as an equation and also solve this

“Two times the sum of 3and a number is equal to 5plus the number.”

Short answer

The equation is$2(x+3)=5+x$and the solution is$x=-1$.

Step-by-step solution

Step  1  . Apply the concept of linear equation

In this, simply use the concept of making a linear equation by understand the statement carefully and then solve it by doing various mathematical operations.

Step -2 – Find the equation

Here, the statement is : Two times the sum of 3 and a number is equal to 5 plus the number.

Since,

Let the number be x.

2 times the sum of 3 and that number, which gives -$2(x+3)$

The above number is now equal to 5 plus the number-$5+x$

So, the final equation becomes:$2(x+3)=5+x$.

Step -3 – Solving the equation

The equation is$2(x+3)=5+x$.

Simple open the bracket and make the variable and constant of the separate side and do mathematical operations,

$\begin{array}{l}2(x+3)=5+x\\ 2x+6=5+x\\ 2x-x=5-6\\ x=-1\end{array}$