Question

How do you solve the equation $5x+20=80$?

Answer 1

Hint: In the above question, we have been given a linear equation to solve. The equation is written as $5x+20=80$. As can be observed, is in terms of the variable x therefore solving the given equation means obtaining the value for x. For this, we need to subtract $20$ from both the sides of the given equation. Then on dividing both the sides of the obtained equation, we will finally get the value of x, and hence the required solution for the given equation.

Complete step by step answer:
The equation given to us in the above question is written as
$\Rightarrow 5x+20=80$
We can observe that the above equation is in the terms of the single variable x which has the degree equal to one. Therefore, the given equation is a linear equation and will have a single solution.
For solving the above equation, we subtract $20$ from both the sides of the above equation to get
\[\begin{align}
  & \Rightarrow 5x+20-20=80-20 \\
 & \Rightarrow 5x=60 \\
\end{align}\]
Finally, we divide both the sides of the above equation by \[5\] to get
$\begin{align}
  & \Rightarrow \dfrac{5x}{5}=\dfrac{60}{5} \\
 & \Rightarrow x=12 \\
\end{align}$

Hence, we have solved the given equation and obtained the solution as $x=12$.

Note: We can also divide the given equation by five and then perform the required subtraction to obtain the final solution. Also, for checking calculation errors, we must substitute the obtained solution $x=12$ in the given equation and confirm whether LHS is equal to RHS.