|x+3|+|x-5|=20 |x+3|+|x-5|=8 |x+3|+|x-5|=4

Решим уравнения:

1) |x + 3| + |x - 5| = 20;  

{ x + 3 + |x - 5| = 20; 

-x - 5 + |x - 5| = 20; 

{ x + 3 + x - 5 = 20; 

x + 3 - x + 5 = 20; 

-x - 5 + x - 5 = 20; 

-x - 5 - x + 5 = 20; 

{ 2 * x - 2 = 20; 

-2 * x = 20; 

{ 2 * x = 20 + 2; 

2 * x = -20; 

{ x = 22/2; 

x = -20/2; 

{ x = 11; 

x = -10; 

2) |x + 3| + |x - 5| = 8; 

{ x + 3 + x - 5 = 8;

-(x + 3) - (x - 5) = 8;

{ 2 * x - 2 = 8;

-x - 3 - x + 5 = 8;

{ 2 * x = 10;

-2 * x + 2 = 8;

{ x = 5;

-2 * x = 6;

{ x = 5;

x = -3.

3) |x + 3| + |x - 5| = 4; 

{ x + 3 + x - 5 = 4; 

-x - 3 - x + 5 = 4; 

{ 2 * x - 2 = 4; 

-2 * x + 2 = 4; 

{ 2 * x = 6; 

-2 * x = 2; 

{ x = 3; 

x = -1.