We have hundreds of course questions with personalized recommendations + Account 100% premium
To solve this exercise, we need to note that the left side is in absolute value.
Absolute value checks the distance of a number from zero, meaning its solution is always positive.
Therefore, we have two possibilities, either the numbers inside will be positive or negative,
In other words, we check two options, in one what's inside the absolute value is positive and in the second it's negative.
6x-12=6
6x=18
x=3
This is the first solution
-(6x-12)=6
-6x+12=6
-6x=6-12
-6x=-6
6x=6
x=1
And this is the second solution,
So we found two solutions,
x=1, x=3
And that's the solution!
,
\( \left|x\right|=3 \)
Get unlimited access to all 18 Absolute Value and Inequality questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime