Решите уравнение: |x+1|+|x+2|=3.

\[|x + 1| + |x + 2| = 3\]

\[- (x + 1) - (x + 2) = 3\]

\[- x - 1 - x - 2 - 3 = 0\]

\[- 2x = 6\]

\[x = - 3.\]

\[- (x + 1) + x + 2 = 3\]

\[- x - 1 + x + 2 - 3 = 0\]

\[- 2 = 0 \Longrightarrow нет\ решения.\]

\[x + 1 + x + 2 = 3\ \ \]

\[2x = 0\]

\[x = 0.\]

\[Ответ:\ - 3;0.\]