Hey there!
[tex]| 2x - 3|[/tex][tex]= 15[/tex]
Remove your vertical bar ( [tex]|[/tex] )
Then your equation will become: [tex]2x - 3[/tex][tex]= 15[/tex]
Your possibility [tex]1[/tex] can look like this ↓
Firstly, add by the number [tex]3[/tex] on each of your sides
[tex]2x - 3 +3[/tex][tex]= 15 +3[/tex]
Cancel out: [tex]3 +3[/tex]
Keep: [tex]15+3[/tex]
[tex]15 +3[/tex] [tex]= 18[/tex]
We get: [tex]2x= 18[/tex]
Nextly, divide by [tex]2[/tex] on each of your sides
Like: [tex]\frac{2x}{2} = \frac{18}{2}[/tex]
Cancel: [tex]\frac{2x}{2}[/tex]
Keep: [tex]\frac{18}{2}[/tex] because it gives you a value of your [tex]x[/tex] value
[tex]\boxed {x= 9}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Your second possibility of [tex]x[/tex] could written out as ↓
Firstly, add [tex]3[/tex] on your sides once again
[tex]2x - 3 +3[/tex][tex]=-15 + 3[/tex]
Cancel: [tex]-3 + 3[/tex]
Keep: [tex]-15 +3[/tex]
[tex]-15+ 3[/tex] [tex]= -12[/tex]
We get: [tex]-12[/tex]
Our equation becomes: [tex]2x = -12[/tex]
Divide by the number [tex]2[/tex] on each of your sides
[tex]\frac{2x}{2} = \frac{-12}{2}[/tex]
Cancel: [tex]\frac{2x}{2}[/tex]
Keep: [tex]\frac{-12}{2}[/tex]
[tex]\frac{-12}{2}[/tex] [tex]= -6[/tex]
[tex]\boxed { x= -6}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Therefore your answer is most likely: [tex]\boxed{x = 9 }[/tex] or [tex]\boxed{x = -6}[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
