Question

Which of these equations has a solution of x = 2? Select three that apply. A 6(2x – 1) = 4 + 7x B 10 – 3x = –2(x + 4) C –3(7 – 2x) = –1 – 4x D 7x + 12 = 2(4x – 5) E –5(x + 1) = –4 – 7x F 8x + 11 = 9(5 – x)

Answer 1

A,C,F

Explanation:

Answer 2

x = 2 for a, c, and f

Explanation:

a)

6(2x - 1) = 4 + 7x

12x - 6 = 4 + 7x

5x = 10

x = 2

b)

10 - 3x = -2(x + 4)

10 - 3x = -2x - 8

18 = x

c)

-3(7 - 2x) = -1 - 4x

-21 + 6x = -1 - 4x

10x = 20

x = 2

d)

7x + 12 = 2(4x - 5)

7x + 12 = 8x - 10

22 = x

e)

-5(x + 1) = -4 - 7x

-5x - 5 = -4 - 7x

2x = 1

x = 1/2

f)

8x + 11 = 9(5 - x)

8x + 11 = 45 - 9x

17x = 45 - 11

17x = 34

x = 2