Question 230812
x + 2 * |x| = 6


If x is greater than or equal to 0, then this formula becomes:


x + 2 * x = 6


This comes out to 3*x = 6 which makes x = 2


If x is less than 0, then this formula becomes:


x + 2 * (-x) = 6 which becomes x - 2 * x = 6


this comes out to be -x = 6 which comes out to be x = -6


You have two answers looks like.


x = 2 and x = -6


Let's see if they work.


Your original equation is x + 2 * |x| = 6


Let x = 2 and this equation becomes 2 + 2 * 2 = 6 which is true so the first answer is good.


Let x = -6 and this equation becomes -6 + 2 * 6 = 6 which becomes -6 + 12 = 6 which becomes 6 = 6 which is true so the second answer is good.


I would say that your answer is:


x = 2 or x = -6