The value of x in the expression is 3.
The distance between Madison's house and Jamie's house is 13 units
Madison lives between Ana and Jamie as depicted on the line segment.
The distance between Ana's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Ana's house and Jamie's house is represented by 9x-3 miles.
Therefore,
(3x + 2) + (3x + 4) = 9x - 3
open the brackets
3x + 2 + 3x + 4 = 9x - 3
combine like terms
3x + 3x + 2 + 4 = 9x - 3
6x + 6 = 9x - 3
6x - 9x = -3 - 6
-3x = - 9
divide both sides by -3
x = -9 / -3
x = 3
Therefore, the value of x in the expression is 3
distance between Madison's house and Jamie's house = 3(3) + 4 = 9 + 4 = 13
learn more on distance here:https://brainly.com/question/24432432
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