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Given the equation:

9 l 5x-3 l = 90

We need to solve for x.

First, we need to isolate the absolute value on the left side by itself.

Then, we will divide by 9 both sides.

==> l 5x-3 l = 10

Now we have two cases:

Case(1): (5x-3)...

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Given the equation:

9 l 5x-3 l = 90

We need to solve for x.

First, we need to isolate the absolute value on the left side by itself.

Then, we will divide by 9 both sides.

==> l 5x-3 l = 10

Now we have two cases:

Case(1): (5x-3) = 10

==> 5x = 13

==> x= 13/5

Case(2): -(5x-3) = 10

==> -5x +3 = 10

==> -5x = 7

==> x = -7/5

Then, we have two answers:

x = -7/5 and x=13/5

Approved by eNotes Editorial Team