A student tries to solve the equation 3/7x = 2: 3/7x = 2 7 3/7 x

Question:

A student tries to solve the equation 3/7x = 2:
3/7x = 2
7 ∙ 3/7 x = 7 ∙ 2
7/1 ∙ 3/7 x = 14
3x = 14
3x /3 = 14/3
x = 14/3
Is the work correct? If yes, show a way to solve the equation in fewer steps. If no, describe the student’s error(s) and then solve the equation correctly.
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