Question

x-18/2018 + x-1l4/1007 + x-13/671 = -6

Answer 1

\(\frac{x-18}{2018}+\frac{x-14}{1007}+\frac{x-13}{671}=-6\)

\(\Rightarrow\frac{x-18}{2018}+1+\frac{x-14}{1007}+2+\frac{x-13}{671}+3=-6+6\)

\(\Rightarrow\frac{x-2000}{2028}+\frac{x-2000}{1007}+\frac{x-2000}{671}=0\)

\(\Rightarrow\left(x-2000\right)\left(\frac{1}{2018}+\frac{1}{1007}+\frac{1}{671}\right)=0\)

Vì \(\frac{1}{2018}+\frac{1}{1007}+\frac{1}{671}\ne0\)

=> x - 2000 = 0

=> x           = 2000