Question

Can someone help me find the answer to the following?

Answer 1

`\lvert x+6\rvert=10`

solve the absolute value,

we know x + 6 = 10 or x + 6 = -10

possibility 1

`\begin{gathered} x+6=10 \\ x=10-6 \\ x=4 \end{gathered}`

possibility 2

`\begin{gathered} x+6=-10 \\ x=-10-6 \\ x=-16 \end{gathered}`

Therefore,

x = 4 or x = -16