194. a) 5x + 12 = 6 10 +3 4; б) 56 + 8x = 7 8+2 32; в) 7х + 22 4=14 5+8 11; г) 16 3 + 13x = 26 3+24 2.

Пошаговое решение:

1. 194. a) \( 5x + 12 = 6 \cdot 10 + 3 \cdot 4 \) \( 5x + 12 = 60 + 12 \) \( 5x + 12 = 72 \) \( 5x = 72 - 12 \) \( 5x = 60 \) \( x = 60 : 5 \) \( x = 12 \)
2. 194. б) \( 56 + 8x = 7 \cdot 8 + 2 \cdot 32 \) \( 56 + 8x = 56 + 64 \) \( 56 + 8x = 120 \) \( 8x = 120 - 56 \) \( 8x = 64 \) \( x = 64 : 8 \) \( x = 8 \)
3. 194. в) \( 7x + 22 \cdot 4 = 14 \cdot 5 + 8 \cdot 11 \) \( 7x + 88 = 70 + 88 \) \( 7x + 88 = 158 \) \( 7x = 158 - 88 \) \( 7x = 70 \) \( x = 70 : 7 \) \( x = 10 \)
4. 194. г) \( 16 \cdot 3 + 13x = 26 \cdot 3 + 24 : 2 \) \( 48 + 13x = 78 + 12 \) \( 48 + 13x = 90 \) \( 13x = 90 - 48 \) \( 13x = 42 \) \( x = 42 : 13 \) \( x \approx 3.23 \)