Question

How do you solve the equation $18 = 5p + 3?$

Answer 1

Hint: First of all we will take all the terms on one side of the equation and then find the pair of like terms among it and then will simplify the like terms and then will solve the simplified equation to get the value of the unknown term “p”.

Complete step-by-step solution:
Take the given expression: $18 = 5p + 3$
The above equation can be written as: $5p + 3 = 8$
Move the constant term on the left hand side of the equation from the right hand side of the equation. When you move any term from one side to another then the sign of the term also changes. Positive term becomes negative and negative term becomes positive.
$5p = 8 - 3$
Simplify among the like terms. When you simplify between one negative term and the other positive term then you have to do subtraction and give signs of bigger numbers to the resultant value.
$5p = 5$
Term multiplicative on one side if moved to the opposite side then it goes to the denominator.
$ \Rightarrow p = \dfrac{5}{5}$
Common factors from the numerator and the denominator cancel each other. Therefore remove from the numerator and the denominator.
$ \Rightarrow p = 1$
This is the required solution.

Note: Always remember that when you move any term from one side to another then the sign of the term also changes.
Be careful about the sign while doing simplification remember the golden rules-
i) Addition of two positive terms gives the positive term.
ii) Addition of one negative and positive term, you have to do subtraction and give signs of bigger numbers, whether positive or negative.
iii) Addition of two negative numbers gives a negative number but in actual you have to add both the numbers and give a negative sign to the resultant answer.