Can you check the following problem? (forgot to incl last night)

1. Which is an equivalent equation to (2/3)x - 1 = 1/2 that does not contain fractions?

(2/3)x = 1 + 1/2
(2/3)x = 3/2
x = 3/2 * 3/2
x = 9/4
x = 2 1/4

A. 4x - 6 = 3
4x = 9
x = 9/4
x = 2 1/4

B. 4x - 2 = 3
4x = 5
x = 5/4
x = 1 1/4

C. 3x - 2 = 1
3x = 3
x = 1

D. 2x - 3 = 3/2
2x = 3/2 + 3
2x = 3/2 + 6/2
2x = 9/2
x = 9/4
x = 2 1/4

ANs: I'm not sure. Choice C is the only that doesn't include a fraction. But, it doesn't make the original equation true. Choice A and D both have same answer as original equation. Can you explain how to do this?

3 answers

It says to find the equivalent equation containing no fractions.
It did not ask to find the solution, so

(2/3)x - 1 = 1/2
multiply each term by 6 , the LCD
6(2/3)x - 6(1) = 6(1/2)
4x - 6 = 3

which is choice A

Oh.thank you!

2/3x + 1 = 1/2