How do you solve #abs(5x+3)=abs(2x1)#?
Case 1: Both Absolute Values are positive
Case 2: The left absolute value is negative
Case 3: The right absolute value is negative
As you can see, whether the absolute value on right is negative and the other positive or the absolute value on left is negative and the other positive, both scenarios will give the same result.
Let's just check our solutions to make sure none are extraneous.
Hopefully this helps!
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To solve 5x + 3 = 2x  1, you'll need to consider two cases: when the expressions inside the absolute value bars are positive and when they are negative.

For when 5x + 3 and 2x  1 are both positive: 5x + 3 = 2x  1

For when 5x + 3 and 2x  1 are both negative: (5x + 3) = (2x  1)
Solve each equation separately to find the values of x.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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