With this |4x−1|=7 (x is not 2 and 1.5)

see explanation

Step-by-step explanation:

The absolute value always returns a positive result, however the expression inside can be positive or negative, that is

4x - 1 = 7 OR 4x - 1 = - 7

4x - 1 = 7 ( add 1 to both sides )

4x = 8 ( divide both sides by 4 )

x = 2

OR

4x - 1 = - 7 ( add 1 to both sides )

4x = - 6 ( divide both sides by 4 )

x = = - = - 1.5

Solutions are x = - 1.5 or x = 2

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step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!