Question

How do you solve $x - 4 = 8 + 3x$ ?

Answer 1

Hint: We need to put all terms in the proper manner then simplify the obtained equation. And get the value of variable $x.$

Complete step-by-step solution:
Given: $x - 4 = 8 + 3x$
To find: the value for $x$
First, we write the given expression.
We need to simplify the expression by using the basic operations.
Firstly, we arrange the terms of the expression in the proper way
We are doing this to get the solution in a simple way without mistakes
The given equation is $x - 4 = 8 + 3x$
We are taking variable terms in the left-hand side and the integer to the right-hand side, we get,
$\Rightarrow$$x - 3x = 8 + 4$
Here, we just subtract the left-handed variable terms and added the right-handed terms
We can have,
$\Rightarrow$$ - 2x = 12$
Now we need to find the value for the variable $x$ by dividing
$\Rightarrow$$x = - \dfrac{{12}}{2}$
$\Rightarrow$$x = - 6$

Therefore the value of x is equal to -6.

Note: We can check the answer by substituting the achieved value in the above equation if the equation is satisfied , so the value would be correct.
Our equation is
$x - 4 = 8 + 3x$
So, we need to substitute the value of $x$here
 $x - 4 = 8 + 3x$
On substitute the value of $x$ in the above equation, we get
$ \Rightarrow - 6 - 4 = 8 + 3( - 6)$
We just multiply where the requirement and on simplifying the equation,
We can have,
$ - 10 = 8 - 18$
Hence, we get,
$ - 10 = - 10$
So, we get left hand side is equal to the right-hand side
$\therefore $L.H.S = R.H.S
Therefore, we can verify our answer by substituting the answer value in the expression or in the given equation.
To avoid the mistakes in the solution we need to arrange the left-handed terms or right hand terms with the full knowledge of combination of signs which are given below
$a)( - )( - ) = ( + )$
$b)( + )( + ) = ( + )$
$c)( - )( + ) = ( - )$
$d)( + )( - ) = ( - )$