Solve for x.


2/3(x + 7) = 10
Responses
A 2222
B 88
C -1/3

D 41/3

E 9/2

1 answer

To solve for x, first distribute the 2/3 to both terms inside the parentheses:

2/3(x) + 2/3(7) = 10
2x/3 + 14/3 = 10

Next, subtract 14/3 from both sides:

2x/3 = 10 - 14/3
2x/3 = 30/3 - 14/3
2x/3 = 16/3

To isolate x, multiply both sides by the reciprocal of 2/3, which is 3/2:

(2x/3) * (3/2) = (16/3) * (3/2)
x = 16/2
x = 8

Therefore, the correct answer is:

B 8