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Solve the equation. |4x+5|−6=22

User Carter Page
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1 Answer

21 votes
21 votes

Given:

|4x+5|−6=22

Add 6 to both sides of the equation:

|4x+5|−6 + 6 =22 + 6

|4x+5l = 28

Now, for the absolute value consider 2 options:

a) 4x+5 = 28 and b) -(4x+5)= 28

• a)

4x+5 = 28

4x = 28 - 5

4x = 23

x= 23/4

• b)

-(4x+5)=28

-4x - 5 = 28

-4x = 28+5

-4x= 33

x= -33/4

Answer:

x= 23/4

x= -33/4

User Keith Pickering
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