Question

How do you solve $x - 6 = - 2$ ?

Answer 1

Hint: We can solve this question by using following steps:
$1.$ Relocate terms: Pass the terms with x to LHS of the equation and the numbers to the RHS of the equation.
$2.$ Simplify by grouping similar terms.
$3.$ Clear the x.

Complete step by step answer:
 if you can see the equation given to us is of the form $ax + b = c$, which is a first degree equation.
First-degree equations are those equations where the coefficient of x is 1, and b, can be any constant values.
To solve an equation is to find the numerical value that x must have for equality to be certain.
To do this, we have to simplify the equation until we leave the x alone in one the one side of the equation, which is what is called clearing the x.
To solve first-degree equations, it is commonly said that you have to clear x but, what does it mean to clear x?
To clear x we have to go through a series of steps to reduce or simplify the equation.
We will start by writing the main equation:
$ \Rightarrow x - 6 = - 2$
Now, start with the first step of relocating the terms.
Through the transposition of terms, we have to pass the terms that carry x to the LHS of the equation and the numbers that do not carry x to the RHS of the equation. Terms that are already in the corresponding sides should not be touched.
To begin with, we focus on the terms with x and forget the rest of the equation.
In the original equation we see that we have only one term with x: that is x, which is already in the LHS of the equation.
Now let’s go with the numbers and forget the rest.
In the original equation we had two numbers (terms without x): the -2 which is already in the right side of the equation and the -6 which is in the left side of the equation and must be passed on to the right hand side of the equation.
$ \Rightarrow x = - 2 + 6$
Simplify:
$ \Rightarrow x = 4$

Hence, $x = 4$ is the required solution.

Note: Alternate method: It should be made clear that this is not the only way to solve a first-degree equation. You can also solve it by adding or subtracting with the constant to both the sides of the equation.
Like:
$ \Rightarrow x - 6 = - 2$
Adding 6 to both the sides:
$ \Rightarrow x - 6 + 6 = - 2 + 6$
Simplify:
$ \Rightarrow x = - 2 + 6$
$ \Rightarrow x = 4$
You will get the same solution.