Question

How do you solve 2x – 5 = -7?

Answer 1

Hint: In this problem, we have to find the value of ‘x’. We are given a linear equation in one variable. One variable means an unknown entity whose value needs to be found out. For this, all we have to do is leave that unknown variable alone and take all other terms on one side to simplify the equation.

Complete step by step answer:
Now, let’s solve the question.
As we all know what a linear equation is. Linear equation is an equation in which there is one or more than one unknown variable. For example: 2x + 4, 3x – 4y = 2 etc. Linear means straight, so it is that equation which gives us a straight line when plotted on the graph. Here, in this particular question, we are given a linear equation in one variable. And this variable is unknown. Its value needs to be found out. Now, let’s solve the equation for ‘x’.
$\Rightarrow $2x – 5 = -7
Take all the constant terms on one side of the equation, we will get:
$\Rightarrow $2x = -7 + 5
$\Rightarrow $2x = -2
To find the value of ‘x’, take 2 on the right hand side. It will get divide after going to the other side of the equation:
$\Rightarrow x=\dfrac{-2}{2}$
Cancel the like terms, we will get:
$\therefore $x = -1
This is the final answer.

Note:
When can easily verify that the obtained value is correct or not by two methods. First is to plot the graph of the equation given. Second is, put the obtained value directly into the equation. If it satisfies the equation, that means the obtained value of the unknown variable id is correct.