Question

Solve the linear equation to find the value of ‘x’: $2x + 5 = 23 - x$

Answer 1

Hint: This is one variable problem and rearrange its terms to bring variables on one side and values on the other.

Complete step by step answer:
When we are asked to solve, this means we need to find the value of variables or come to a conclusive relation between different variables. Here, we have one variable, $x$, in an equation. We will simply rearrange the terms of the equation to bring our variable on one side of the equation and known values/ numbers on the other side. We get,
$\begin{gathered}
   \Rightarrow 2x + 5 = 23 - x \\
   \Rightarrow 2x + x = 23 - 5 \\
   \Rightarrow 3x = 18 \\
\end{gathered} $
Dividing both sides of the equation by 3, we get.
$ \Rightarrow x = 6$. This is our solution.

Note: Whenever we move terms to the other side of the equation, signs reverse. We need to be careful of the original sign of the term before moving.