Tách x ra ta được :
20x + ( 1 + 2 + ... + 20) = 25x
1 + 2 + ... +20= 20 x (20+1) : 2 = 210
20x+210=25x
5x=210
x=42
vì | x + 1 | \(\ge\)0 ; | x + 2 | \(\ge\)0 ; ... ; | x + 20 | \(\ge\)0
\(\Rightarrow\)| x +1 | + | x + 2 | + ... + | x + 20 | \(\ge\)0 nên 25x \(\ge\)0
Ta có : ( x + 1 ) + ( x +2 ) + ... + ( x + 20 ) = 25x
( x + x + ... + x ) + ( 1 + 2+ ... + 20 ) =25x
20x + 210 = 25x
5x = 210
x = 42