Answer: [tex]x=-25[/tex]
Step-by-step explanation:
For this exercise it is necessary to remember the multiplication of signs:
[tex](+)(+)+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
Then, having the following equation provided in the exercise:
[tex]4 + \frac{1}{5}x = -1[/tex]
You need to solve for the variable "x" in order to find its value.
To solve the equation, you can follow the steps shown below:
Step 1: You need to subtract 4 from both sides of the equation. Then:
[tex]4 + \frac{1}{5}x-(4) = -1-(4)\\\\ \frac{1}{5}x=-1-4\\\\ \frac{1}{5}x=-5[/tex]
Step 2: This is the final step. You must multiply both sides of the equation by 5 in order to find the value of the variable "x".
Then, you get the following result:
[tex](5)( \frac{1}{5}x)=(-5)(5)\\\\x=-25[/tex]
