If $A B = x + 3, B C = 2 x$ and $A C = 4 x - 5$ , then what will be the measure of $x$ , if $B$ lies on $A C$ ?

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Solution

$A B = x + 3$ ;
$B C = 2 x$ ;
$A C = 4 x - 5$
$A B + B C = A C$
$x + 3 + 2 x = 4 x - 5$
$3 x + 3 = 4 x - 5$
$x = 8$ .

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