Question

solve the absolute value equation

Answer 1

\[2\left[ x+4 \right]-9=1\]

Answer 2

add 9
divide by 2
those are the first two steps to get to
\[|x+4|=5\]

Answer 3

ok

Answer 4

1) add 9 to both sides of the equation: \[2\left| x+4 \right|=10\]
2) divide by 2 on both sides: \[\left| x+4 \right|=5\]
3) since absolute value means to take the positive value, the potential values of the equation are 5 and -5. so then you end up with x+4=5 or x+4=(-5). Solve for x and you get x=1 or x=-9. Both answers are potential values of x.