Question

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

Answer 1

7) ax + a +5ax - 5a = 6b - 4a
    6ax -4a = 6b - 4a
    6ax = 6b
    ax=b
    x=b/a

8) ax + x -ax + x = 2a + 4
    2x = 2a + 4
    2x = 2 (a +2)
    x = a + 2

9) x2 + 5x + 2x -10 = x2 - 6x - x + 6
    x2 + 7x - 10 = x2 -7x + 6
   14x = 16
   x=16/14

10) x2 + x - 8x - 8 = x2 - 3x + 5x - 15
      x2 - 7x - 8 = x2 + 2x - 15
      7 = 9x
      x= 9/7