Question

A) 7(×-5)=3(×+1)

B) 3(x-2)=4(-x+3)

C) 2(x+1)-(x-3)=0

D) -3x+10=2x+8+1

Answer 1

a)  7x -35 = 3x + 3 ∴ 7x -3x =  3 + 35 ∴ 4x = 38 ∴ x = 38/4 = 19/2

b) 3x -6 = -4x + 12 ∴ 3x + 4x = 12+ 6 ∴ 7x = 18 ∴ x=18/7

c) 2x + 2 -x +3 =0 ∴ x +5=0 ∴ x = -5
d) -3x -2x = 9-10 ∴ -5x = -1 ∴ x =1/5

Answer 2

a) 7(x - 5) = 3(x + 1)

7x - 35 = 3x + 3
7x - 3x = 3 + 35
4x = 38
x =  38  (:2)
       ----
         4  (:2)

x = 19
      -----
        2
****************************

b)
3.(x - 2) = 4.(-x + 3)
3x - 6 = - 4x + 12
3x + 4x = 12 + 6
7x = 18

x = 18
      -----
        7
***************************
c)
2.(x + 1) - (x - 3) = 0
2x + 2 - x + 3 = 0
2x - x + 2 + 3 = 0
x + 5 = 0

x = - 5
*************************************
d)
- 3x + 10 = 2x + 8 + 1
- 3x + 10 = 2x + 9
10 - 9 = 2x + 3x
1 = 5x
5x = 1

x =  1
      ----
       5