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16 votes
16 votes
|5x-8|+5=32 how would i set this problem up to solve

User Avromi
by
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1 Answer

10 votes
10 votes

You have the following expression:


\lvert5x-8\rvert+5=32

subtract 5 both sides of the equation:


\begin{gathered} \lvert5x-8\rvert=32-5 \\ \lvert5x-8\rvert=27 \end{gathered}

Take into account that the absolute value of any number is equal to the same number but positive.

Then, you have:


5x-8=-27

and


5x-8=27

Then, solve the previous equations:

5x - 8 = -27 add 8 both sides

5x = -27 + 8

5x = -19 divide by 5

x = -19/5

5x - 8 = 27 add 8 both sides

5x = 27 + 8

5x = 32 divide by 5

x = 32/5

Then, the solutions of the given equations are:

x = -19/5

x = 32/5

User Sean Cavanagh
by
3.1k points