1,$x^2+2x\sqrt{x-\frac{1}{x}}=3x+1$2,$2\sqrt{x+4}-4\sqrt{2x+6}=x-7$3,$(\sqrt{x+5}-\sqrt{x+2})(1+\sqrt{x^2+7x+10})=3$4,$3\sqrt[3]{x^3+8}=2x^2-3x+10$5.$\sqrt{x^2-x-6}+x^2-x-18=0$6.$3x^2-x+3=\sqrt{3x+1}+\sqrt{5x+4}$7.$2x^3-x^2+\sqrt[3]{2x^2-3x+1}=3x+1+\sqrt[3]{x^2+2}$