1 Answer

Raka Adi Nugroho · Answer 1 · 2023-08-10T06:54:27+0000

Answer:

$\displaystyle x=(39)/(10)$

The midpoint of a line bisects that line into two congruent line segments - otherwise speaking, they are equivalent to each other.

Due to this, we can set the equations equal and solve for x.

First, set the equations equal to one another.

17x = 7x + 39

Subtract 7x from both sides of the equation to combine like terms.

17x - 7x = 7x - 7x + 39

10x =39

Then, divide both sides of the equation by 10 to isolate the variable.

$\displaystyle (10x)/(10) = (39)/(10)$

$\displaystyle x=(39)/(10)$

$\displaystyle \boxed{\bold{x=(39)/(10)}}$

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