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 Solve the following and show all steps: 5|x – 3| -13 = 67

 Jan 12, 2019
 #1
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Solve for x:
abs(x - 3) = 16

Split the equation into two possible cases:
x - 3 = 16 or x - 3 = -16

Add 3 to both sides:
x = 19 or x - 3 = -16

Add 3 to both sides:
x = 19               or               x = -13

 Jan 12, 2019
 #2
avatar+524 
+1

1. add 13 to both sides => 5|x-3|=80

2. divide by 5 on both sides => |x-3|=16

3. 2 cases:

 

x-3 is positive => x-3=16, x = 19.

x-3 is negative => x-3=-16, x = -13.

 

HOPE THIS HELPED!

 Jan 12, 2019

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