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Solve for X. Geometry

Solve for X. Geometry-example-1
User JoeRod
by
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1 Answer

19 votes
19 votes

Answer: " x = 10 " .

Explanation:

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) " ;

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To solve for "x" ;

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(2x − 8) + 5 = (x + 7) ;

Rewrite as:

2x − 8 + 5 = x + 7 ;

Note: −8 + 5 = -3 ;

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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 ;

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to get:

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x = 10 .

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Let us check our answer

(2x − 8) + 5 =? (x + 7) ;

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(2*10 − 8) + 5 =? (10 + 7) ? ;

(20 − 8) + 5 =? 17 ?

12 + 5 =? 17 ? Yes!

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Best wishes in your academic pursuits!

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User Kuhlemann
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3.2k points