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)

x = 2 for a, c, and f

Step-by-step 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

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.