Absolute value equation, Help

3 | x - 5 | = 12
I'm really having trouble with this one. I would really appreciate step by step answers for future reference. Thanks in advance.

3 | x - 5 | = 12 divide both sides by 3
|x-5|=4 this means
x-5=4 or x-5=-4 so solve both
x=9 or x=1

you want the absolute value all by its self so divide both sides by 3 to get:
/x-5/=4
then take the inside of the absolute value and set it equal to the value on the other side of the equation and the opposite of the value on the other side of the equation so you have:
x-5=4 and x-5= -4

then solve both the equations to get the two possible values of x

in this equation they are x=9 and x=1

3|x - 5| = 12
|x - 5| = 4

meaning x - 5 = 4 or x - 5 = -4

x - 5 = 4
x = 9

x - 5 = -4
x = 1


So when x = 1 or x = 9 will satisfy the equation

3|x - 5| = 12
|x - 5| = 4

x - 5 = 4
x = 9

x - 5 = -4
x = 1

|9 - 5| = 4
|4| = 4
4 = 4

|1 - 5| = 4
|-4| = 4
4 = 4

Both solutions work.

| x - 5 | = 12/3
|x - 5| = 4
x - 5 = 4.....or...... x - 5 = -4
x = 9..........or...........x = 1