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Bad White [126]
3 years ago
15

What is -5x -10=10 ?

Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:  " x = - 4 " .

____________

Step-by-step explanation:

____________

Method 1):

____________

Given:

" -5x − 10 = 10 " ;  Solve for "x" ;

____________

Add "10" to Each Side of the equation:

____________

-5x − 10 + 10 = 10 + 10 ;

____________

to get:

____________

-5x = 20 ;

____________

Now, divide Each side of the equation by " -5 " ;

 to isolate "x" on one side of the equation;

  & to solve for "x" :

_____________

 -5x / -5 = 20/ -5 ;

____________

to get:

 " x = - 4 " .

____________

Method 2):

____________

Given:

" -5x − 10 = 10 " ;  Solve for "x" ;

____________

Multiply each side of the equation by "-1" ; to get rid of the "negative value" of the "coefficient of "x" :

____________

-1 *{-5x − 10} = 10*{-1} " ;  

____________

to get:

____________

[-1*-5x] − [-1*10] = -10 ;

to get:

 5x − (-10) = -10 ;

to get:

  5x + 10 = -10 ;

____________

Subtract "10" from Each Side of the equation:

____________

  5x + 10 − 10 =  -10 − 10 ;

to get:

  5x = -20 ;

____________

Now, divide each side of the equation by "5" ;

to isolate "x" on one side of the equation;

and to solve for "x" ;

____________

  5x / 5 = -20 / 5 ;

____________

to get:

  " x = - 4 " .

___________

Method 3):

___________

Given:

" -5x − 10 = 10 " ;  Solve for "x" ;

____________

Divide Each Side of the equation by: "-5" ;

____________

" \frac{-5x-10}{-5} = \frac{10}{-5} " ;

____________

Simplify to:

" \frac{-5x}{-5} - \frac{10}{-5} = \frac{10}{-5} " ;

Simplify to:

" x − (-2)  =  - 2 " ;

Simplify to:

" x + 2 = - 2 " ;

____________

Now, subtract "2" from Each Side of the equation;

to isolate "x" on one side of the equation;

and to solve for "x":

____________

 " x + 2 − 2 = - 2 − 2 " ;

____________

to get:

 " x = - 4 " .

___________

Hope these explanations are helpful to you!

 Wishing you the best!

____________

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