Question

How do you solve \[4x-1=2\left( 2x+3 \right)\]?

Answer 1

Hint: In this problem, we have to solve the given equation and find the value of x. We should know that solving a problem is nothing but finding the value of an unknown variable i.e., x. As it is a linear equation, we can just add/subtract the similar numbers to simplify the given solutions and take the terms with x to one side to simplify it and other terms to the other side to solve and find the value of x.

Complete step by step answer:
We know that the given problem to be simplified to find the value of x is,
\[4x-1=2\left( 2x+3 \right)\]…… (1)
We can first multiply the number 2 inside the brackets on the right-hand side, we get
\[\Rightarrow 4x-1=4x+12\]
Now we can take the terms with x to the left-hand side and the other terms to the right-hand side, we get
\[\begin{align}
  & \Rightarrow 4x-4x=12+1 \\
 & \Rightarrow 0=13 \\
\end{align}\]
We can see in the above step, that it is a false statement and there is no x term.
Therefore, there is no solution to this equation as x has no value.

Note:
Students make mistakes while adding or subtracting similar values to simplify the given linear equation and find the value of x. we should know that solving a problem is nothing but finding the value of unknown variable i.e., x, but in this problem we didn’t get the value of x, instead we got an inappropriate answer, therefore there is no solution for these types of problems.