Question

solve for x: -4|x+5|=-16

Answer 1

First you need to divide both sides by -4

Answer 2

|x+5|=4

Answer 3

Now you need to find an x value that'll add with 5 to get either a positive or negative 4

Answer 4

so do i add

Answer 5

Subtract 5 from each side

Answer 6

x=−1,−9

Answer 7

im confused

Answer 8

do you want to see my steps again :)

Answer 9

yes

Answer 10

I'll show you step by step, just a sec.

Answer 11

Divide each term in −4|x+5|=−16 by 4 to eliminate the fractions.
−|x+5|=−4

Answer 12

okay so tep #1: Divide both sides by -4.
−4(|x+5|)−4=−16−4
|x+5|=4
Step 2: Solve Absolute Value.
|x+5|=4
We know eitherx+5=4orx+5=−4
x+5=4(Possibility 1)
x+5−5=4−5(Subtract 5 from both sides)
x=−1
x+5=−4(Possibility 2)
x+5−5=−4−5(Subtract 5 from both sides)
x=−9
Answer:
x=−1 or x=−9 do you understand??

Answer 13

Divide each term in −|x+5|=−4 by −1 to eliminate the fractions.
|x+5|=4

Answer 14

thank you so much @AloneS

Answer 15

Remove the absolute value term. This creates a ± on the right-hand side of the equation because |x|=±x.
x+5=±(4)

Answer 16

Set up the positive portion of the ± solution.
x+5=4

Answer 17

Move all terms not containing x to the right-hand side of the equation.
x=−1

Answer 18

Set up the negative portion of the ± solution.
x+5=−(4)

Answer 19

Simplify the right-hand side.
x+5=−4

Answer 20

You welcome

Answer 21

Move all terms not containing x to the right-hand side of the equation.
x=−9

Answer 22

The solution to the equation includes both the positive and negative portions of the solution.
x=−1,−9