3x-1:7-2x+1:2=x:14-1

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To solve this equation, we first need to simplify both sides.

On the left side:
3x - 1 = 7 - 2x + 1 = 6 - x

On the right side:
x:14 - 1 = x/14 - 1

So now our equation becomes:
6 - x = x/14 - 1

Next, we can combine like terms and solve for x:
7 = x/14 + x
7 = (1 + 14x)/14
7 * 14 = 1 + 14x
98 = 1 + 14x
98 - 1 = 14x
97 = 14x
x = 97/14

Therefore, the solution to the equation is x = 97/14.