Question

[Nguyễn Hoàng]

(x+5)/20 + (x+5)/21 + (x+5)/32 = (x+5)/23 + (x+5)/54

Giải giúp mình bài này với!

Answer 1

[Kan]

\(\frac{x+5}{20}+\frac{x+5}{21}+\frac{x+5}{32}=\frac{x+5}{23}+\frac{x+5}{54}\)

\(\Leftrightarrow\frac{x+5}{20}+\frac{x+5}{21}+\frac{x+5}{32}-\frac{x+5}{23}-\frac{x+5}{54}=0\)

\(\Leftrightarrow\left(x+5\right)\left(\frac{1}{20}+\frac{1}{21}+\frac{1}{32}-\frac{1}{23}-\frac{1}{54}\right)=0\)

\(\Leftrightarrow x+5=0\)

\(\Leftrightarrow x=-5\)