-2|5x-1|-3=11 and -2|5x-1|-3=-11

Answer : The values of x are and 1.

Step-by-step explanation :

The given equation is:

The term -3 is moved or added to the right hand side.

The term -2 is divided to the right hand side.

Clear the absolute-value bars by splitting the equation into two cases. One for the positive case and the other for the negative case.

Negative case :

Positive case :

Now solve both the cases.

Negative case :

and,

Positive case :

Therefore, the values of x are and 1.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.