1) |6 * (8 х+3) - 30|=|16-8 * (3x+0.5) | 2) |8-|4-x||=5

1)

|6 * (8 х + 3) - 30| = |16 - 8 * (3x + 0,5) |;

|48x + 18 - 30| = |16 - 24x - 4|;

|48x - 12| = |12 - 24x|;

|48x - 12| = |24x - 12|;

12 * |4x - 1| = 12 * |2x - 1|;

|4x - 1| = |2x - 1|;

4x - 1 = ± (2x - 1);

a)

4x - 1 = - (2x - 1);

4x - 1 = - 2x + 1;

4x + 2x = 1 + 1;

6x = 2;

x = 2/6 = 1/3;

b)

4x - 1 = 2x - 1;

4x - 2x = - 1 + 1;

2x = 0;

x = 0.

2)

|8 - |4 - x|| = 5;

||x - 4| - 8| = 5;

|x - 4| - 8 = ±5;

|x - 4| = 8 ± 5;

a)

|x - 4| = 8 - 5;

|x - 4| = 3;

x - 4 = ±3;

x = 4 ± 3;

x1 = 4 - 3 = 1;

x2 = 4 + 3 = 7;

b)

|x - 4| = 8 + 5;

|x - 4| = 13;

x - 4 = ±13;

x = 4 ± 13;

x3 = 4 - 13 = - 9;

x4 = 4 + 13 = 17.

Ответ:

1) 1/3; 0;

2) - 9; 1; 7; 17.