Question

Solve the following equation $ 2x+3=4+x $

Answer 1

Hint: Since the given equation is linear equation in one variable, and we need to find the value of that variable, so we will use some mathematical operations i.e. addition, subtraction, multiplication and division which all are required to simplify the equation and get the value of ‘x’.

Complete step by step answer:
Moving ahead with the question in step wise manner,
When we have the linear equation in one variable, in which we are asked to solve it, which means we need to find the value of an unknown variable i.e. ’x’ here. So in order to find the value of ‘x’ let us first bring the variable to one side and bring constants to the other side.
So in the equation we have variables on opposite side, so let us bring them to one side, so in $ 2x+3=4+x $ equation let us bring ‘x’ to LHS side, as we know that when we will bring the ‘x’ to LHS side the sign of ‘x’ will change from $ +x $ to $ -x $ , so we will get;
 $ \begin{align}
  & 2x+3=4+x \\
 & 2x-x+3=4 \\
\end{align} $
Which on further simplifying, we will get;
 $ x+3=4 $
Now on the LHS side we have $ x+3 $ and we want the value of ‘x’, so let us vanish the number ‘3’ to get the value of ‘x’. in order to vanish ‘3’ let us subtract ‘3’ both sides in the equation. So we will get;
 $ x+3-3=4-3 $
Which on further simplifying we will get;
 $ x=1 $
So we got $ x=1 $ on solving the equation.
Hence the answer is $ x=1 $ .

Note: To solve any linear equation in one variable, means we need to find the value of that variable, as in our case we need to find the value of ‘x’. for this always our first step should to bring variable on of the one side and further solve the equation using mathematical operations i.e. addition, subtraction, multiplication and division to get the answer.