Question

Solve $12p-5=25$.

Answer 1

Hint: In this question, we are given an equation in terms of variable p and we have to solve this equation which means we have to find the value of p. We will use step methods for solving this sum. We will first remove the constant by subtracting the constant term from both sides and then we will divide the coefficient of variable on both sides to get the variable alone on the left side and its solution will be given by the right side.

Complete step by step answer:
We are given the equation as:
$12p-5=25$.
We want to find the value of p which means we have to remove all constant terms and coefficients of p from the left side of the equation. We will do it using the step method.
Firstly, let us remove constant term 5 from the left side. For this, let us add 5 to both sides, so we get:
\[\begin{align}
  & 12p-5+5=25+5 \\
 & \Rightarrow 12p=30 \\
\end{align}\]
Now, the equation has been reduced to $12p=30$.
As we can see we are still stuck with 12 as coefficient of p but we only need value of p, therefore, let us divide both sides by 12, so we get:
\[\dfrac{12p}{12}=\dfrac{30}{12}\]
Solving this we get:
\[p=\dfrac{30}{12}\]
Since the left side of the equation does not have any constant term or coefficient of variable p, therefore, we have found the value of p. Hence,
Value of $p=\dfrac{30}{12}$.
But, we can still simplify it, let us first reduce it to simpler form by dividing both numerator and denominator by 6, we get:
\[p=\dfrac{30\div 6}{12\div 6}=\dfrac{5}{2}\]
So, the value of p becomes $\dfrac{5}{2}$.
Now, let us change it to decimal by multiplying numerator and denominator by 5, we get:
\[p=\dfrac{5}{2}\times \dfrac{5}{5}=\dfrac{25}{10}\]
Which can be written as 2.5.

Hence, value of p equals to 2.5

Note: Students should carefully perform all the calculations. The equation can be solved directly in the following way: $12p-5=25$.
Take 5 to right side, as it is negative one left-hand side, so it becomes positive on right side, we get $\begin{align}
  & 12p=25+5 \\
 & \Rightarrow 12p=30 \\
\end{align}$
Now, take 12 from left side to right side. As 12 is in multiplication with p, so it will divide on the right side, we get: $p=30\div 12$.
It can be written as $p=\dfrac{30}{12}$.
Changing it to decimal like performed earlier, we get $p=2.5$