Question

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

Answer 1

x = 5/3, x = - 10/3

x = −3, x = −11

x = −3, x = 11

No solution

Answer 2

-3x -21 = -12

-3x = 9

x = -3

Answer 3

-3 | x + 7 | = -12 --- we want to get the absolute value and everything in it on one side by itself...so divide both sides by -3

| x + 7 | = - 4

x + 7 = -4
x = -4 - 7
x = - 11

-(x + 7) = -4
-x - 7 = -4
-x = -4 + 7
-x = 3
x = -3

so x = -11 and x = -3

Answer 4

Great, thank you!! Do you think you could help me with some other questions?

Answer 5

Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions.

Equation 1
|5x − 6| = −41 |

Equation 2
|7x + 13| = 27

Answer 6

The first drawing is equation 1, second is equation 2

Answer 7

Equation 1 has more solutions than equation 2.

Equation 1 and Equation 2 have the same number of solutions.

Equation 2 has more solutions than Equation 1.

The number of solutions cannot be determined.

Answer 8

I hope someone can help!

Answer 9

| 5x - 6 | = -41

5x - 6 = -41 -(5x - 6) = -41
5x = -41 + 6 -5x + 6 = -41
5x = 35 -5x = -41 - 6
x = 7 -5x = - 47
x = 47/5
===========================
| 7x + 13| = 27

7x + 13 = 27 -(7x + 13) = 27
7x = 27 - 13 -7x - 13 = 27
7x = 14 -7x = 27 + 13
x = 2 -7x = 40
x = - 40/7
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well....they each have 2 solutions...so I am going with second answer choice