1) 2(x+5)-3 = 9 2) x+2(x+7)=8 3) 3(x-2)-5x=2 4) 7+4(x+1)=15 5) 2x+2(x+3)=10 6) 4(x+1)-3x=5

Решение:

1. \( 2(x+5)-3 = 9 \)
   \( 2x + 10 - 3 = 9 \)
   \( 2x + 7 = 9 \)
   \( 2x = 9 - 7 \)
   \( 2x = 2 \)
   \( x = 1 \)
2. \( x+2(x+7)=8 \)
   \( x + 2x + 14 = 8 \)
   \( 3x + 14 = 8 \)
   \( 3x = 8 - 14 \)
   \( 3x = -6 \)
   \( x = -2 \)
3. \( 3(x-2)-5x=2 \)
   \( 3x - 6 - 5x = 2 \)
   \( -2x - 6 = 2 \)
   \( -2x = 2 + 6 \)
   \( -2x = 8 \)
   \( x = -4 \)
4. \( 7+4(x+1)=15 \)
   \( 7 + 4x + 4 = 15 \)
   \( 4x + 11 = 15 \)
   \( 4x = 15 - 11 \)
   \( 4x = 4 \)
   \( x = 1 \)
5. \( 2x+2(x+3)=10 \)
   \( 2x + 2x + 6 = 10 \)
   \( 4x + 6 = 10 \)
   \( 4x = 10 - 6 \)
   \( 4x = 4 \)
   \( x = 1 \)
6. \( 4(x+1)-3x=5 \)
   \( 4x + 4 - 3x = 5 \)
   \( x + 4 = 5 \)
   \( x = 5 - 4 \)
   \( x = 1 \)

Ответ: 1) x = 1; 2) x = -2; 3) x = -4; 4) x = 1; 5) x = 1; 6) x = 1.