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4 votes
Solve for the variable. show all work .

|2x-3|=15

User Zaggo
by
7.9k points

2 Answers

2 votes

Answer:

X=9

Explanation:

|2x-3|=15

move 3 over(add 3 to each side)

|2x|=18

Divide by 2, so X is alone

X=9

User Churk
by
9.1k points
4 votes

Hey there!


| 2x - 3|
= 15

Remove your vertical bar (
| )

Then your equation will become:
2x - 3
= 15

Your possibility
1 can look like this ↓

Firstly, add by the number
3 on each of your sides


2x - 3 +3
= 15 +3

Cancel out:
3 +3

Keep:
15+3


15 +3
= 18

We get:
2x= 18

Nextly, divide by
2 on each of your sides

Like:
(2x)/(2) = (18)/(2)

Cancel:
(2x)/(2)

Keep:
(18)/(2) because it gives you a value of your
x value


\boxed {x= 9}

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Your second possibility of
x could written out as ↓

Firstly, add
3 on your sides once again


2x - 3 +3
=-15 + 3

Cancel:
-3 + 3

Keep:
-15 +3


-15+ 3
= -12

We get:
-12

Our equation becomes:
2x = -12

Divide by the number
2 on each of your sides


(2x)/(2) =  (-12)/(2)

Cancel:
(2x)/(2)

Keep:
(-12)/(2)


(-12)/(2)
= -6


\boxed { x= -6}

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Therefore your answer is most likely:
\boxed{x = 9 } or
\boxed{x = -6}

Good luck on your assignment and enjoy your day!

~
LoveYourselfFirst:)

User Pedram
by
7.3k points

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