|3x - 2|+5 =16?

|3x - 2|+5 =16

first get rid of the 5
|3x - 2| =16-5 = 11

so |3x - 2| = 11
now as this is an absolute value question u have hte positive and the negative

so 3x-2 = +11 with 3x-2 = -11


3x-2 = +11
3x = 11-2 = 13
x = 13/3

also 3x-2 = -11
3x = -11+2
3x = -9
x = -3

(3x-2) = 16 - 5
3x-2 = 11
3x = 11 + 2
3x = 13
x = 13/3
x = 4.3

and

3x-2 = - 11
3x = -11 + 2
3x = -9
x = -9/3
x = - 3

|3x - 2| + 5 = 16
|3x - 2| = 16 - 5
|3x - 2| = 11
3x - 2 = ±11

3x - 2 = 11
3x = 11 + 2
3x = 13
x = 13/3

3x - 2 = -11
3x = -11 + 2
3x = -9
x = -9/3
x = -3

∴ x = -3 , 13/3

it beomes 8x+3=16
subtract 3 from each side
it will become 8x=13
then divide each side by 8
x=1.6

first solve the equation with simple parenthesis like ( ).

x = 13/3

which is one solution because the absolute value of
is positive number
3(13/3) - 2 = 11

then solve the equation assuming that the value of the item inside the parenthesis is negative and then its absolute value would be positive

3x-2 = -11

3x = -9

x = -3
and this is the other solution

so then

x = 13/3, -3

|3x - 2|+5 =16
|3x - 2| =16 - 5
|3x - 2| =11

3x - 2 = 11 or 3x - 2 = -11

3x = 11 + 2 or 3x = -11 + 2
3x = 13 or 3x = -9
x = 13/3 or x = -9/3 = -3

Check your answer
|3(13/3) - 2|+5 =16
|13 - 2|+5 =16 true so x = 13/3 is a solution

|3(-3) - 2|+5 =16
|-9 - 2|+5 =16
|-11|+5 =16 true so x = -3 is a solution

"Please Halp I r slow."
excuse me? if you are so "slow" that you can't spell help, then maybe you shouldn't be doing math like this.



oh and como, you forgot to add the 2 to the other side in your first equation, so its 13 / not 11 /

| 3x - 2 | = 11
3x - 2 = 11
3x = 13
x = 13/3
Or
3x - 2 = - 11
3x = - 9
x = - 3

x = - 3 , x = 13/3

take away parentheses
-2+5= -3
3x-3=16
+3=19
3x=19
19 divided by 3 = 6.34
x=6.34

LOL
LOL
LOL
LOL PEOPLE THAT WAS A JOKE!!!!!!!!!!!!!!
LOL
LOL ac IS WRONG 11-2 DOESNT EQUAL 13.
LOL LOOK CLOSELY AND YOU WILL SEE.

AND DONT SAY, ITS A MISTAKE, HOW ABOUT IF IT WAS TEST. AND SHE NEEDED 1 MARK TO PASS, BUT BECAUSE OF THAT MISTAKE SHE HAD TO RETAKE THE TEST, AND MISS A YEAR.