Решите уравнение: 1) |x| + 6 = 13 2) |x| - 7 = -12 3) 7|x| - 3 = 0 4) |x - 5| = 4 5) |9 + x| = 0 6) |x - 4| = -2 7) |3x

1) |x| + 6 = 13;Известные значения переносим на одну сторону, а неизвестные на другую сторону. При переносе значений, их знаки меняются на противоположный знак. То есть получаем: |x| = 13 - 6;|x| = 7;x = 7;x = - 7;2) |x| - 7 = - 12;|x| = - 12 + 7;|x| = - 5;x = 5;x = - 5;3) 7 * |x| - 3 = 0;7 * |x| = 3;|x| = 3/7;x = 3/7;x = - 3/7;4) |x - 5| = 4;{ x - 5 = 4;x - 5 = - 4;{ x = 4 + 5;x = - 4 + 5;{ x = 9;x = 1;5) |9 + x| = 0;{ 9 + x = 0;9 + x = 0;{ 9 + x = 0;x = 0 - 9;x = - 9; 6) |x - 4| = - 2;{ x - 4 = - 2;x - 4 = 2;{ x = - 2 + 4;x = 2 + 4;{ x = 2;x = 6;7) |3x + 4| = 2;{ 3 * x + 4 = 2;3 * x + 4 = - 2;{3 * x = 2 - 4;3 * x = - 2 - 4;{ 3 * x = - 2;3 * x = - 6;{ x = - 2/3;x = - 2; 8) |2x + 1| + 13 = 14;|2x + 1| = 1;{ 2 * x + 1 = 1;2 * x + 1 = - 1;{2 * x = 0;2 * x = - 2;{ x = 0;x = - 1; 9) |3x - 2| = |x + 1|;{ |3x - 2| = x + 1;|3x - 2| = - x - 1;{ 3 * x - 2 = x + 1;3 * x - 2 = - x - 1;3 * x - 2 = - x - 1;3 * x - 2 = x + 1;{ 3 * x - 2 = x + 1;3 * x - 2 = - x - 1;{3 * x - x = 1 + 2;3 * x + x = - 1 + 2;{2 * x = 3;4 * x = 1;{ x = 3/2;x = 1/4; 10) |x + 4| = |x - 6|;{ x + 4 = |x - 6|;x + 4 = - |x - 6|;{ x + 4 = x - 6;x + 4 = - x + 6;x + 4 = - x + 6;x + 4 = x - 6;{ x + 4 = x - 6;x + 4 = - x + 6;{x + x = 6 - 4;2 * x = 2;x = 1; 11) ||x| - 3| = 5;{ |x| - 3 = 5;|x| - 3 = - 5;{ |x| = 8;|x| = - 2;{ x = 8;x = - 8;x = 2;x = - 2.