Question

How do you solve the linear equation $20x-5=3+18x$?

Answer 1

Hint: To solve the given equation first we will shift the all variable terms to the LHS of the equation and then shift all the constant terms to the RHS of the equation. Then by simplifying the algebraic operations like addition, subtraction, division and multiplication according to the obtained equation we will get the desired answer.

Complete step-by-step solution:
We have been given an equation $20x-5=3+18x$.
We have to solve the given equation.
Now, we know that the given equation is a linear equation in one variable. Linear equation in one variable has only one unknown variable, so it has only one solution.
To solve the given equation first let us shift all the variable terms to the LHS, then we will get
$\Rightarrow 20x-18x-5=3$
Now, by shifting the constant term to the RHS we will get
$\Rightarrow 20x-18x=3+5$
Now, by simplifying the above obtained equation we will get
$\begin{align}
  & \Rightarrow 2x=8 \\
 & \Rightarrow x=\dfrac{8}{2} \\
 & \Rightarrow x=4 \\
\end{align}$
Hence by solving the given equation we get the value of x as 4.

Note: We can also verify the obtained answer by substituting the obtained value of x in the given equation. By substituting the value 4 instead of x in the given equation we will get
$\Rightarrow 20\times 4-5=3+18\times 4$
Now, simplifying the above obtained equation we will get
$\begin{align}
  & \Rightarrow 80-5=3+72 \\
 & \Rightarrow 75=75 \\
\end{align}$
As we get LHS=RHS, hence the obtained solution is correct.