Question

Solve for x. Type your answer as a number in the blank without "x=".

Answer 1

Explanation:

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we can use the theorem midpoint theorem.

as the mid-point theorem,

2(x+5)=3x-7

2x+10=3x-7

x=17

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Answer 2

17

Explanation:

The midpoint theorem states that “The line segment in a triangle joining the midpoint of any two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

therefore 2(x+5) = 3x-7

distribute

2x+10 = 3x-7

subtract 2x from both sides

2x+10 -2x = 3x-7 -2x

x-7 = 10

add 7 to both sides

x- 7 +7 = 10 + 7

x = 17