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Alenkinab [10]
3 years ago
9

Solve for X. Geometry

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:  " x = 10 " .

<u>Step-by-step explanation</u>:

Note the top "line segment" ; and the bottom "line"; have equal measurements:

The length of the top line segment is:

" (2x − 8) + 5 ."

The length of the bottom line is:  " (x + 7) " ;

__________

To solve for "x" ;

___________

(2x − 8) + 5 = (x + 7) ;

Rewrite as:

2x − 8 + 5 = x + 7 ;

Note: −8 + 5 = -3 ;

_______________

Rewrite the equation as:

 2x − 3 = x + 7 ;

We can subtract "x" from each side of the equation;

and add "3" to each side of the equation:

 2x − 3 − x + 3 = x + 7 − x + 3 ;

_______________

to get:

_______________

 x = 10 .

_______________

Let us check our answer

(2x − 8) + 5 =? (x + 7) ;

________

(2*10 − 8)  + 5 =? (10 + 7) ? ;

(20 − 8)  + 5 =? 17 ?

  12 + 5 =? 17 ?  Yes!

_______________

Best wishes in your academic pursuits!

_______________

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