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3|3 – 5x| - 3 = 18. Find x

1 Answer

3 votes
Answer:

x = -4/5 or x = 2

Explanations:

The given equation is 3|3 - 5x| - 3 = 18

Note that the absolute vale of a, that is |a| can either be a or -a

Therefore | 3 - 5x| can either be (3 - 5x) or -(3 - 5x)

3|3 – 5x| - 3 = 18 can be:

3(3 - 5x) - 3 = 18

3(3 - 5x) = 18 + 3

3(3-5x) = 21

3 - 5x = 21 / 3

3 - 5x = 7

-5x = 7 - 3

-5x = 4

x = -4 / 5

It can also be written as:

-3(3 - 5x) - 3 = 18

-3(3 - 5x) = 18 + 3

-3(3 - 5x) = 21

3 - 5x = -21/3

3 - 5x = -7

- 5x = -7 - 3

-5x = -10

x = -10 / -5

x = 2

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