Question

Solve for x: |x + 2| + 16 = 14

x = −32 and x = −4

x = −4 and x = 0

x = 0 and x = 28

No solution
Will fan and medal!

Answer 1

\(\normalsize\color{blue}{ |x + 2| + 16 = 14 }\) subtract 16 from both sides,
\(\normalsize\color{blue}{ |x + 2| + 16 \color{red}{ -16 }= 14\color{red}{ -16 } }\)
\(\normalsize\color{blue}{ |x + 2| = -2 }\)
this gives, \(\normalsize\color{blue}{ x + 2 = -2 ~~~~~~or~~~~~~ x+2=2 }\)

Answer 2

can you finish the problem ?

Answer 3

How?

Answer 4

solve each equation

Answer 5

Idk how to..

Answer 6

Can you explain how?

Answer 7

can you first solve \(\normalsize\color{blue}{ x + 2 = -2 }\) and then solve \(\normalsize\color{blue}{ x + 2 = 2 }\) ?

Answer 8

in each equation, you subtract 2 from both sides.

Answer 9

\[2-2 & 2-(-2)\] ?

Answer 10

\(\normalsize\color{blue}{ x + 2 = -2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~or~~~~~~~~~~~~~~~~~x+2=2 }\)

\(\normalsize\color{blue}{ x + 2 \color{red}{ -2 }= -2\color{red}{ -2 }~~~~~~~~~~~~~~~~~or~~~~~~~~~~~~~~~~~x+2\color{red}{ -2 }=2\color{red}{ -2 } }\)

\(\normalsize\color{blue}{ x = ?~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~or~~~~~~~~~~~~~~~~~x=? }\)