how would you solve this equation?

Question

1/2x = 3 5/6
one half times x equals three and five sixths..

Answer 1

(1/2)x = 3 5/6
Convert 3 5/6 to an improper fraction.
(1/2)x = 23/6
Multiply both sides by 2 (or 2/1 if this makes it easier for you).
x = (23/6)(2/1)
x = 23/3
Convert back to an mixed fraction (if needed)
x = 7 2/3

Answer 2

Convert the mixed number to a improper fraction

1/2x = 3 5/6

Multiply 3 times 6 and add 5 = 23/6

1/2x = 23/6

Multiply both sides of the equation by 6

6(1/2x) = 6(23/6)

3x = 23

Divide both sides of the equation by 3

3x / 3 = 23 / 3

x = 23 / 3

x = 7 2/3

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Answer 3

very simple take 2 on right, that makes 2*3 5/6= (36 + 10)/6=23/3

Answer 4

1/2 (x) = 23/6
x = 23/6 / (1/2)
x = 46/6
x = 23/3
x = 7 2/3