Question

Solve for x: -3|x+7| = -12

Answer 1

x=−3,−11

Answer 2

you want explanation

Answer 3

Thanks... so much man, please give me an explanation... I don't truly understand this at all...

Answer 4

is there an answer choice

Answer 5

yeah I can get it for you

Answer 6

ok is my answer one of them

Answer 7

A x = 5 over 3, x = −19 over 3

B x = −3, x = −11

C x = −3, x = 11

D No solution

Answer 8

Yes yours is one of the answers

Answer 9

Divide each term in the equation by 3.
Cancel the common factor of 3 in −3|x+7|\3.
Reduce the expression −3|x+7|\3 by removing a factor of 3 from the numerator and denominator.
Cancel the common factor of 3 in −12/3.
Reduce the expression −12/3 by removing a factor of 3 from the numerator and denominator.
and you get
−|x+7|=−4

Answer 10

then

Answer 11

Multiply each term in the equation by −1.

−|x+7|⋅−1=−4⋅−1


Multiply −|x+7| by −1 to get |x+7|.

|x+7|=−4⋅−1


Multiply −4 by −1 to get 4.

|x+7|=4

Answer 12

|x+7|=4
Remove the absolute value term. This creates a ± on the right-hand side of the equation because |x|=±x.
x+7=±(4)
Set up the + portion of the ± solution.
x+7=4
Move all terms not containing x to the right-hand side of the equation.

Answer 13

Since 7 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 7 from both sides.

x=−7+4


Add 4 to −7 to get −3.

x=−3

Answer 14

so we got -3

Answer 15

Set up the − portion of the ± solution.
x+7=−(4)
Multiply −1 by the 4 inside the parentheses.
x+7=−4
Since 7 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 7 from both sides.
x=−7−4
Subtract 4 from −7 to get −11.
x=−11
The solution to the equation includes both the positive and negative portions of the solution.

so we get the answer -3,-11

Answer 16

did that help

Answer 17

Now.... I get what your saying... It did help due to the fact that my teacher didn't cover any of this during my regular school year thus prompting me to take an online course to make up for lost time...

Answer 18

I do it a little bit differently, but the answer comes out the same. However, if you understand it the way jagr explained, I do not have to show you the way I do it.

Answer 19

But thank you for the help with that one....

Answer 20

yw