2x-3 là ước của 2x+7
=>\(2x+7⋮2x-3\)
=>\(2x-3+10⋮2x-3\)
=>\(10⋮2x-3\)
=>\(2x-3\in\left\{1;-1;2;-2;5;-5;10;-10\right\}\)
=>\(2x\in\left\{4;2;5;1;8;-2;13;-13\right\}\)
=>\(x\in\left\{2;1;\dfrac{5}{2};\dfrac{1}{2};4;-1;\dfrac{13}{2};-\dfrac{13}{2}\right\}\)