How do i solve this math problem please. IxI = 2x + 3?

Question

How do i solve this math problem please. IxI = 2x + 3?

Answer 1

lxl = +x or -x, thus:

+x = 2x + 3  => -x = 3  => x = -3

-x = 2x + 3 => -3x = 3 => x = -1

the answer choices are x = -3 or -1

Check answer:

l -3 l = 2(-3) + 3 => +3 is not equal to -3

l -1 l = 2(-1) + 3 => +1 is equal to +1

Answer is, x = -1

Answer 2

x=-1

Answer 3

Answer: -1

[-1]= 2(-1) + 3

1=-2+3

1=1

(the -3 answer will not work because 3≠-3)

Answer 4

x= -3

Answer 5

|x| = 2x + 3

x = ±(2x + 3)

x = +(2x + 3)

x = 2x + 3

x - 2x = 3

-x = 3

x = 3/-1

x = -3

x = -(2x + 3)

x = -2x - 3

x + 2x = -3

3x = -3

x = -3/3

x = -1

∴ x = -3 , -1

Answer 6

answer: x = -1

Basis:

Since |x| = 2x + 3 and x cannot be 0, we divide both sides by x to obtain 2 + 3/x = |x| / x, which can only be + 1 or - 1.

Thus, either 3/x = 1 - 2 = -1 or 3/x = -1 - 2 = -3

Hence, solving for x, either x = - 3 or x = -1

Clearly, x cannot be -3, for |-3| = 3 is not

equal to 2 (-3) + 3 = -3.

But x does equal -1 since |-1| = 1 = 2 (-1) + 3 = 1.

Answer 7

This becomes two separate equations:

x = 2x + 3 and x = -(2x + 3) = -2x - 3

solving them separately:

x = -3 or x = -1

with absolute value equations (like radical and rational equations), you should check your answers in the original equation to make sure they work

In this case, x = -3 does NOT work, so the only solution is x = -1

check: |-3| = 2(-3) + 3?

3 = -6 + 3 = -3  Nope...

|-1| = 2(-1) + 3?

1 = -2 + 3 = 1 check

x = -1

Answer 8

Just figure that |x| is +x for one then -x for the second time then check your answers.  for example x = 2x +3, -x = 3 , therefore x = 3, now check it and since 3 doesn't equal 6 + 3 you try it the other way.  -x = 2x =3, -3x=3, therefore x = -1, now check it.  Does 1 = -2 +3, yes so x = -1

Answer 9

2x=-3

x=-3/2

x=-3/2 or +3/2

i think