Question

A) 7(×-5)=3(×+1)
B) 3(×-2)=4(-×+3)
C) 2(×+1)-(+-1)=0
D) 5(×+1)-3(×+2)=0
E) 13+4(2×-1)=5(×+2)
F) 4(×+5)+3(×+5)=21

Answer 1

a) 7(x - 5) = 3(x + 1)

7x - 35 = 3x + 3

7x - 3x = 3 + 35

4x = 38

x = 38/4

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) - (-1) = 0

2x + 2 + 1 = 0

2x + 3 = 0

2x = -3

x = - 3/2

d) 5(x + 1) - 3(x + 2) = 0

5x + 5 - 3x - 6 = 0

2x - 1 = 0

2x = 1

x = 1/2

e) 13 + 4(2x - 1) = 5(x + 2)

13 + 8x - 4 = 5x + 10

9 + 8x = 5x + 10

8x - 5x = 10 - 9

3x = 1

x = 1/3

f) 4(x + 5) + 3(x + 5) = 21

4x + 20 + 3x + 15 = 21

7x + 35 = 21

7x = 21 - 35

7x = -14

x = - 14/7

x = -2