Question

Solve for x: |2x + 6| − 4 = 20

Answer 1

First you want to add 4 to both sides

Answer 2

24

Answer 3

So we know that we can have 2 solutions
\[2x+6=-24\quad \quad \mathrm{or}\quad \:\quad \:2x+6=24\]

Answer 4

We just solve for x on both equations; #1
\[2x+6=−24\]
Subtract 6
\[2x=-30\]
Divide by 2 on both sides
x=-15

Answer 5

#2
\[2x+6=24\]
Subtract 6 on both sides
\[2x=18\]
Divide by 2 on both sides
\[x=9\]

Answer 6

x=15,9

Answer 7

-15*

Answer 8

And those are your solutions
\[x=-15, x=9\]

Answer 9

yes