Question

How do you solve the equation: $x + 13 = - 8?$

Answer 1

Hint: First of all we will take the given equation and frame the equation in terms of the required unknown and move other terms on the opposite side and then will simplify the terms on the opposite side for the required resultant value.

Complete step-by-step solution:
Take the given expression: $x + 13 = - 8$
Make the required unknown term “x” as the subject and move the other term on the opposite side. When you move any term from one side to another then the sign of the term also changes. Positive terms become negative and negative terms become positive.
$ \Rightarrow x = - 8 - 13$
Simplify the above equation on the right hand side of the equation. When you simplify terms both have negative signs you have to add both the terms and give sign of negative.
$ \Rightarrow x = - 21$
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-
-Addition of two positive terms gives the positive term
-Addition of one negative and positive term, you have to do subtraction and give signs of bigger numbers, whether positive or negative.
-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.
-Product of two positive terms gives resultant value in positive.
-Product of two negative terms gives resultant value in positive.
-Product of one positive and one negative term gives value in negative.