SOLUTION: The absolute value of the sum of -7 and twice a number is 23 . find the number

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Question 1093819: The absolute value of the sum of -7 and twice a number is 23 . find the number
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39631)   (Show Source): You can put this solution on YOUR website!
"...sum of -7 and twice a number..."


-
Either or ;
Solve for each case.








Incorrect interpretation-------------------------------


.
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Answer by ikleyn(52932)   (Show Source): You can put this solution on YOUR website!
.
The absolute value of the sum of -7 and twice a number is 23 . find the number
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The Math translation of the condition is this equation

|-7 +2x| = 23.     // Notice it is DIFFERENT from that of @josgarithmetic, which is   W R O N G.


EITHER

a)  -7 + 2x = 23  ====>  2x = 23+7 = 30  ====>  x = 15,


OR


b)  -7 + 2x = -23  ====>  2x = -23 + 7 = -16  ====>  x = -8.


Answer.  The original equation has two solutions:  x = 15  and/or  x = -8.

Be aware: the solution and the answer by @josgarithmetic both are W R O N G.


Simply ignore it . . .



Answer by MathTherapy(10559)   (Show Source): You can put this solution on YOUR website!

The absolute value of the sum of -7 and twice a number is 23 . find the number
Why does this dude continue to provide wrong answers to these people?
Correct answer:
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