The value of x is 5
Since point b is between points a and c
The equation below represents the given illustration
ab + bc = ac.................(*)
ab = 2x - 3
bc = 7x - 10
ac = 32
Substituting the values of ab, bc, and ac into equation (*)
2x - 3 + 7x - 10 = 32
Collect like terms
2x + 7x = 32 + 10 + 3
9x = 45
Divide both sides by 9
9x / 9 = 45/9
x = 5
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