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abozer
abozer,
Category: Math Homework
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how do i solve |x+15|-37

Resolved Question:

how do i solve |x+15|-37
Submitted: 6 years ago.
Category: Math Homework
Expert:  abozer replied 6 years ago.
Hi,

I think there is a typo. Is it an equality or a subtraction sign right before 37?

Customer: replied 6 years ago.
a subtraction sign
Expert:  abozer replied 6 years ago.
We cannot solve for x. This is not an equality or an inequality. Are you sure all of it is written correctly.
Customer: replied 6 years ago.
could you help me solve this one 40-4x=2|3x-10|
Expert:  abozer replied 6 years ago.
sure.

First remove the absolute sign and solve for x,

40 - 4x = 2(3x - 10)
40 - 4x = 6x - 20
-4x - 6x = -20 - 40
-10x = -60
x = 6

Now, remove the absolute sign but put a negative sign in front,

40 - 4x = -2(3x - 10)
40 - 4x = -6x + 20
-4x + 6x = 20 - 40
2x = -20
x = -10

So the solutions are 6 and -10.
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