Question

Solve and verify the result: $5x-3=x+17$

Answer 1

Hint: To solve this type of linear equation we will take variable terms to one side and constants to the other side then we will apply different mathematical operations to get the required solution.

Complete step by step answer:
In the question we have to solve our given equation,
$5x-3=x+17$
We will try to put all variable terms in the left hand side and all constant terms in the right hand side.
Transposing $x$ to left hand side and $-3$ to right hand side
$\begin{align}
  & 5x-3=x+17 \\
 & \Rightarrow 5x-x=17+3 \\
 & \Rightarrow 4x=20 \\
\end{align}$
Transposing $4$ to the right hand side.
$\begin{align}
  & \Rightarrow x=\dfrac{20}{4} \\
 & \Rightarrow x=5 \\
\end{align}$
$\therefore x=5$ is our required solution

Note:
There are three methods to solve linear equations in one variable.
A. Trial and Error.
B. Inverse operations.
C. Transposition Method.