Richard C. answered 07/15/22
Confidence-building Algebra 2 tutor with 18 years experience
If |5x-7| = 14 then 5x-7 = 14 or 5x-7 = -14
If 5x-7 = 14 then x = 21/5
If 5x-7 = -14 then x = -7/5

Yittel M.
asked 07/15/22Solve the following equation for x:
|5x-7| = 14
Hint: This absolute value equation will turn into 2 linear equations, so there will be two solutions!
please show steps
Richard C. answered 07/15/22
Confidence-building Algebra 2 tutor with 18 years experience
If |5x-7| = 14 then 5x-7 = 14 or 5x-7 = -14
If 5x-7 = 14 then x = 21/5
If 5x-7 = -14 then x = -7/5
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BRUCE S.
For a conceptual explanation see Blitzer Algebra & Trigonometry 4e pg 166 item 507/20/22