How do i solve for this absolute value equation ? |12x - 5| = 11

Hello, we know that

And we can write that 12x-5=0 <=> 12x =5 <=> x = 5/12

So,

And, we can write.

So the two solutions are 4/3 and -1/2.

Thank you.

1) the property is   ixi = a ⇔x = a   o x = -a

4(x-5)+3= 15⇒4x-20+3 = 15⇒4x-17= 15⇒4x = 15+17⇒4x = 32⇒x =32/4= 8

4(x-5) +3= -15⇒4x-20 +3 = -15⇒4x-17= -15⇒4x =-15+17⇒4x = 2⇒x =2/4= 1/2

the values are x =8 and x = 0,5