\(x-y+1=2\sqrt{x-y}-\sqrt{x-2}\)

\(3\sqrt{2x+3}-\sqrt{8x+12}=1+\sqrt{2}\)

\(\frac{4}{4x^2-8x+7}+\frac{3}{4x^2-10x+7}=\frac{1}{x}\)

\(\frac{x^2}{3}+\frac{48}{x^2}=10\left(\frac{x}{3}-\frac{4}{x}\right)\)

\(\left(\frac{x-1}{x+2}\right)^2-4\left(\frac{x^2-1}{x^2-2}\right)+3\left(\frac{x+1}{x-2}\right)^{2=0}\)

$\frac{{}^{}}{3}+\frac{48}{x^2}=10\left(\frac{x}{3}-\frac{4}{x}\right)$

\(\left(x-7\right)^4+\left(x-8\right)^4=\left(15-2x\right)^4\)

\(\left(x^2-4\right)^2+x=4\)