Question

Tìm x biết: \(\frac{x-13}{-53}+\frac{x+14}{36}\) ​​​​= \(\frac{x+15}{35}-\frac{x}{50}\)

Answer 1

\(\frac{x-3}{53}+\frac{x+14}{36}=\frac{x+15}{35}-\frac{x}{50}\)

\(\left(1+\frac{x-3}{53}\right)+\left(1+\frac{x+14}{36}\right)=\left(\frac{x+15}{35}+1\right)-\left(1+\frac{x}{50}\right)\)

\(\frac{x+50}{53}+\frac{x+50}{36}-\frac{x+15}{35}+\frac{x+50}{50}=0\)

\(\left(x+50\right).\left(\frac{1}{53}+\frac{1}{36}-\frac{1}{35}+\frac{1}{50}\right)=0\)

\(\left(\frac{1}{53}+\frac{1}{36}-\frac{1}{35}+\frac{1}{50}\right)\ne0\)

\(\Rightarrow\left(x+50\right)=0\Rightarrow x=-50\)

Vậy x=-50

p/s: bn viết sai đề nên mk sửa lại