5x+7/2=3/2x-14
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5x+7/2=3/2x-14
5x-3/2x=-14-7/2
taking lcm
(10x-3x)/2=(-28-7)/2
7x/2=-35/2
Multiply all terms by the same value to eliminate fraction denominators
2 x (7x/2)= 2 x (-35/2)
7x =-35
x=-35/7
x=-5
therefore, value of x is -5
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