1. Решите уравнение: 1) a) 1-4x-1; 5 12 2) a) 8x+3 = 10x-1; 7 7 3) a) 5x-9 + 5x-7 =1; 4 4 6) 2x- 2x+3 = x-6; 3 3 B) 2-x - x = 1; 5 15 3 б) 3x-10=-1; 2 6) x+2- 3x-5; 5 4 г) x - 3x-1 =2; 14 д) 2x-3 + x-1 =2; 9 5 e) x+14 - 6x+1 = 1. 5 7 B) x+3 = 1; 10 5 B) 7-x - 19x-11 6 8

1. a) \[ \frac{1-4x}{5} = 1 \] \[ 1 - 4x = 5 \] \[ -4x = 4 \] \[ x = -1 \]
2. б) \[ \frac{3x-10}{2} = -1 \] \[ 3x - 10 = -2 \] \[ 3x = 8 \] \[ x = \frac{8}{3} \]
3. в) \[ \frac{x+3}{10} = \frac{1}{5} \] \[ 5(x+3) = 10 \] \[ 5x + 15 = 10 \] \[ 5x = -5 \] \[ x = -1 \]
4. a) \[ \frac{8x+3}{7} = \frac{10x-1}{7} \] \[ 8x + 3 = 10x - 1 \] \[ 2x = 4 \] \[ x = 2 \]
5. б) \[ \frac{x+2}{5} = \frac{3x-5}{4} \] \[ 4(x+2) = 5(3x-5) \] \[ 4x + 8 = 15x - 25 \] \[ 11x = 33 \] \[ x = 3 \]
6. в) \[ \frac{7-x}{6} = \frac{19x-11}{8} \] \[ 8(7-x) = 6(19x-11) \] \[ 56 - 8x = 114x - 66 \] \[ 122x = 122 \] \[ x = 1 \]
7. a) \[ \frac{5x-9}{4} + \frac{5x-7}{4} = 1 \] \[ \frac{5x-9 + 5x-7}{4} = 1 \] \[ 10x - 16 = 4 \] \[ 10x = 20 \] \[ x = 2 \]
8. г) \[ \frac{x}{7} - \frac{3x-1}{14} = 2 \] \[ \frac{2x - (3x-1)}{14} = 2 \] \[ 2x - 3x + 1 = 28 \] \[ -x = 27 \] \[ x = -27 \]
9. 6) \[ 2x - \frac{2x+3}{3} = \frac{x-6}{3} \] \[ \frac{6x - (2x+3)}{3} = \frac{x-6}{3} \] \[ 6x - 2x - 3 = x - 6 \] \[ 4x - 3 = x - 6 \] \[ 3x = -3 \] \[ x = -1 \]
10. д) \[ \frac{2x-3}{9} + \frac{x-1}{5} = 2 \] \[ \frac{5(2x-3) + 9(x-1)}{45} = 2 \] \[ 10x - 15 + 9x - 9 = 90 \] \[ 19x = 114 \] \[ x = 6 \]
11. B) \[ \frac{2-x}{5} - \frac{x}{15} = \frac{1}{3} \] \[ \frac{3(2-x) - x}{15} = \frac{1}{3} \] \[ 6 - 3x - x = 5 \] \[ -4x = -1 \] \[ x = \frac{1}{4} \]
12. e) \[ \frac{x+14}{5} - \frac{6x+1}{7} = 1 \] \[ \frac{7(x+14) - 5(6x+1)}{35} = 1 \] \[ 7x + 98 - 30x - 5 = 35 \] \[ -23x = -58 \] \[ x = \frac{58}{23} \]

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