Question

Solve the following for x: \[2x-3=x+2\]

Answer 1

Hint: In this problem, we have to solve and find the value of x. we can first take the constant term -3 and 2 to one side and the terms with the variable to the other side, from the right-hand side to the left-hand side, so that the given problem will be easier to solve as we can have the terms with variables to be simplified in one side and the constant on the other side to simplify and find the value of x.

Complete step by step answer:
We know that the given equation to be solved is,
 \[2x-3=x+2\]
We can now add the number -2 and -2x on both the left-hand side and the right-hand side of the equation, we get
\[\Rightarrow -2-3=x-2x\]
We can now simplify the above step, we get
\[\Rightarrow -5=-x\]
We can now simplify the above step by cancelling the similar term, i.e. minus on both the left-hand side and the right-hand side, we get
\[\Rightarrow x=5\]

Therefore, the value of x is \[5\]

Note: Students make mistakes while adding or subtracting the correct numbers to the given equation on both the left-hand side and the right-hand side of the equation in order to cancel similar terms to get a simplified form so that we can find the value of the given unknown variable in the given equation. We can substitute the resulting value in the equation to check for the correct values.
We can substitute x = 5 in \[2x-3=x+2\],
\[\begin{align}
  & \Rightarrow 2\left( 5 \right)-3=5+2 \\
 & \Rightarrow 7=7 \\
\end{align}\]
Therefore, the x value is correct.