5. Решите уравнения: a) 4(x-3) + 2(x + 5) = 58; 6) 3(2y +1)-5(y-4) = 37; в) 12-2(3а-5) = 4(a-7); r) 5(2-1)-3(4-c) = 7c+35.

5. Решение уравнений:

1. a) \( 4(x - 3) + 2(x + 5) = 58 \)
   \( 4x - 12 + 2x + 10 = 58 \)
   \( 6x - 2 = 58 \)
   \( 6x = 60 \)
   \( x = 10 \)
2. б) \( 3(2y + 1) - 5(y - 4) = 37 \)
   \( 6y + 3 - 5y + 20 = 37 \)
   \( y + 23 = 37 \)
   \( y = 14 \)
3. в) \( 12 - 2(3a - 5) = 4(a - 7) \)
   \( 12 - 6a + 10 = 4a - 28 \)
   \( 22 - 6a = 4a - 28 \)
   \( 22 + 28 = 4a + 6a \)
   \( 50 = 10a \)
   \( a = 5 \)
4. г) \( 5(2 - 1) - 3(4 - c) = 7c + 35 \)
   \( 10 - 5 - 12 + 3c = 7c + 35 \)
   \( 5 - 12 + 3c = 7c + 35 \)
   \( -7 + 3c = 7c + 35 \)
   \( -7 - 35 = 7c - 3c \)
   \( -42 = 4c \)
   \( c = -10.5 \)

Ответ: а) x = 10; б) y = 14; в) a = 5; г) c = -10,5.