The value of x in the expression is 3.
The distance between Madison's house and Jamie's house is 13 units
<h3>How to find the distance between Madison house and Jamie's house?</h3>
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:brainly.com/question/24432432
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