Question

|-x-15 | = | 5x - 23 |

Answer 1

Answer:

Let's solve your equation step-by-step.

|−x−15|=|5x−23|

Solve Absolute Value.

|−x−15|=|5x−23|

We know either−x−15=5x−23or−x−15=−(5x−23)

−x−15=5x−23(Possibility 1)

−x−15−5x=5x−23−5x(Subtract 5x from both sides)

−6x−15=−23

−6x−15+15=−23+15(Add 15 to both sides)

−6x=−8

−6x

−6

=

−8

−6

(Divide both sides by -6)

x=

4

3

−x−15=−(5x−23)(Possibility 2)

−x−15=−5x+23(Simplify both sides of the equation)

−x−15+5x=−5x+23+5x(Add 5x to both sides)

4x−15=23

4x−15+15=23+15(Add 15 to both sides)

4x=38

4x

4

=

38

4

(Divide both sides by 4)

x=

19

2

Check answers. (Plug them in to make sure they work.)

x=

4

3

(Works in original equation)

x=

19

2

(Works in original equation)

Answer:

x=

4

3

or x=

19

2

Step-by-step explanation:

Answer 2

Answer:

x = 4/3

Step-by-step explanation:

|-x-15 | = | 5x - 23 |

take square root

√-x-15 = √ 5x - 23

than take square

(√-x-15 )² = (√ 5x - 23)²

than,

-x -15 = 5x - 23

-15 = x + 5x - 23  ( add x on both sides )

-15 + 23 = 6x  ( add 23 on both sides )

8 = 6x

8/6 = x   (divide 6 on both sides )

x = 4/3