Question

4-x = l2-3xl
pretend the l's are absolute value signs

Answer 1

http://symbolab.com/solver/absolute-equation-calculator/4-x%3D%7C2-3x%7C/?origin=button

Answer 2

Let's say you have an absolute value equation of this type

|X| = Y

where X and Y are expressions.

To solve it, get rid of the absolute value signs by solving this complex equation:

X = Y or X = -Y

Answer 3

@Meep. Do you understand the explanation above, or do you need more help?

Answer 4

I think I need more help.

Answer 5

Ok.
That's why I'm here.

Answer 6

Is there a specific step to getting rid of the sings or do you just pretend like they aren't there and solve it like a normal equation?

Answer 7

*signs

Answer 8

Notice the explanation.
You have an expression inside absolute value signs equaling another expression.
In your case, the expression 2 - 3x is inside the absolute value signs.
The expression 4 - x is the second expression not in the absolute value signs.

Answer 9

To get rid of the absolute value signs, you must solve two equations separated by the word "or."

Answer 10

The first equation is simply the equation you have just dropping the absolute value signs.

Answer 11

The second equation is similar, but when you drop the absolute value signs, you must put a negative sign and parentheses around the expression that was in absolute values signs.

Answer 12

First, let me just do one step to make this easier to follow.
Let's take your equation as it appears.

Answer 13

\(4 - x = |2 - 3x|\)

Answer 14

Let's do one step before we start solving.
Let's switch sides.

\(|2 - 3x| = 4 - x\)

Answer 15

All I did was switch sides to have the absolute value part on the left side.

Answer 16

Now we do the step of getting rid of the absolute value.

Answer 17

\(2 - 3x = 4 - x\) or \(-(2 - 3x) = 4 - x\)

Answer 18

so the answer should be x= -1 or x= 1 ?

Answer 19

Now you need to solve both equations.

Answer 20

2 - 3x = 4 - x or -(2 - 3x) = 4 - x

-2 = 2x or -2 + 3x = 4 - x

x = -1 or 4x = 6

x = -1 or x = 6/4 = 3/2

Answer is: x = -1 or x = 3/2

Answer 21

Okay! I got it now. :) thanks for the help.

Answer 22

You're welcome.
The important thing here is for you to understand how to solve an absolute value equation.

Answer 23

First, have the absolute value part on one side of the equal sign, and the rest on the other side.
Then solve the following two equations separated by the word "or."
The first equation is simply the equation with the absolute value signs dropped.
The second equation is: drop the absolute value signs and place what was inside the absolute value signs inside parentheses and a negative sign outside.