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If 5|2x| = 60, then what are the values of x?

Answer :

First, we divide both sides of the equation by 5. This gives

[tex]\frac{5|2x|}{5}=\frac{60}{5}[/tex][tex]|2x|=12[/tex]

Now, | 2x | can be written as 2 |x| and therefore, the above becomes

[tex]2|x|=12[/tex]

Dividing both sides by 2 gives

[tex]|x|=6[/tex]

Now, there are two numbers that have an absolute value of 6 and they are x = 6 and x =-6.

Hence, the values of x are x = -6 and x = 6.

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