|x - 2| + 3 = 10...?

Question

ok so how do i solve this? if you want to give me the answer or not its your choice but can you show me at least how to get the answer..? like steps?

tnx in advance!

Answer 1

X=9

(9-2) = 7

+ 3 =10

I think thats it :)

Answer 2

|x - 2| + 3 = 10

|x - 2| = 10 - 3

|x - 2| = 7

x - 2 = ±7

x - 2 = 7

x = 7 + 2

x = 9

x - 2 = -7

x = -7 + 2

x = -5

∴ x = -5 , 9

Answer 3

You want to solve for x, in other words get x alone on one side of the equation.  To do that you do the same thing to both sides.

So first subtract 3 to get |x-2| = 7

Absolute value converts negative #'s to positive so it turns this into 2 equations now:

x-2=7 & x-2=-7

Now add 2 to each side and you have your answers:

x=9 & x=-5

Answer 4

I opt to give the answer.

|x - 2| + 3 = 10

|x - 2| = 7 // Addition Property of Equality

x - 2 = 7 or x - 2 = -7 // Definition of Absolute Value

x = 9 or x = -5 // Addition Property of Equality

I hope the axioms in the side can help explain the flow of the solution.

Answer 5

okay so you want to get x by itself so subtract 3 from both sides so it is  l x -2 l +3 = 10

       x -2 = 7

then add two to both sides to get   x -2 = 7

                                                  x = 9

i hope this helps and you can also go on websites to get more help just go to google

but I did get the right answer