Question

How do you solve $ - (1 + 7x) - 6( - 7 - x) = 36?$

Answer 1

Hint: In the question we have asked to find the value of x. for that we will simplify the equation which we have been given in the question. For simplifying the given equation we will open the brackets step by step. After that we will add numbers and move them to the right side of the equation. we will repeat the process until we get only x terms.

Complete step by step solution:
Here, we have to find the value of x, for that we will simplify this equation.
So, equation is $ - (1 + 7x) - 6( - 7 - x) = 36$
First we will open the first Bracket.
So, after opening first Bracket we get,
$ \Rightarrow - 1 + ( - 7x) - 6( - 7 - x) = 36$
Here, $( + ) \times ( - ) = ( - )$;
 $ \Rightarrow - 1 - 7x - 6( - 7 - x) = 36$
Now we will open a second Bracket.
After opening second counce we get,
$ \Rightarrow - 1 - 7x + ( - 6( - 7) - ( - 6)x) = 36$
Here,$( - ) \times ( - ) = ( + )$
$ \Rightarrow - 1 - 7x + 42 + 6x = 36$
$ \Rightarrow - x = 5$
After multiplying $( - 1)$both the side of equation,
$ \Rightarrow x = - 5$

So, the answer of this question is $x = - 5$.

Note:
These types of questions become very easy to solve when you understand the process of solving these types of questions. Here in this question there is only one variable so this type of equation is called a simple equation or linear equation.