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Mathematically simplify the number axis
As can be seen from the figure, c < b < 0 < a, and | c | > | b| >; |a|

Therefore, a+c

Therefore |a+c|=-a-c, |a-b-c|=a-b-c, |b-a|=a-b, | b+a | =-b-a b-a.

Therefore | a+c |-a-b-c |+2 | b-a |-b+a | =-a-c-(a-b-c)+2 (a-b)-(b-a) = a.

|x+2|+|x-4|+|x+3|

(1) when x

Therefore |x+2|=-x-2, |x-4|=4-x, |x+3|=-x-3.

| x+2 |+| x-4 |+| x+3 | =-x-2+4-x-x-3 =-3x- 1

(2) When -3≤x≤-2, x+2, x-4≤0 and x+3≥0.

Therefore |x+2|=-x-2, |x-4|=4-x, |x+3|=x+3.

| x+2 |+| x-4 |+| x+3 | =-x-2+4-x+x+3 = 5-x

(3) When -2

Therefore |x+2|=x+2, |x-4|=4-x, |x+3|=-x-3.

| x+2 |+| x-4 |+| x+3 | = x+2+4-x+x+3 = x+9

(4) when x >; 4,x+2,x-4,x+3≥0。

Therefore |x+2|=x+2, |x-4|=x-4, |x+3|=x+3.

| x+2 |+| x-4 |+| x+3 | = x+2+x-4+x+3 = 3x+ 1

|x-2|+|x+5|

(1) when x

Therefore |x-2|=-x+2, |x+5|=-x-5.

|x-2|+|x+5|=2-x-x-5=-2x-3

(2) When -5≤x≤2, x-2≤0 and x+5≥0.

Therefore |x+2|=-x-2, |x+5|=x+5.

|x-2|+|x+5|=2-x+x+5=7

(3) When 2; 0

Therefore |x+2|=x+2, |x+5|=x+5.

|x-2|+|x+5|=x-2+x+5=2x+3

|x+3|-|x-2|

(1) when x

Therefore |x-2|=-x+2, |x+3|=-x-3.

| x-2 |+| x+3 | = 2-x-x-3 =-2x- 1

(2) When -3≤x≤2, x-2≤0 and x+3≥0.

Therefore |x-2|=-x+2, |x+3|=x+3.

|x-2|+|x+3|=2-x+x+3=5

(3) when x >; 2 o'clock, x-2, x+3 >; 0

Therefore |x-2|=x-2, |x+3|=x+3.

|x-2|+|x+3|=x-2+x+3=2x+ 1