Question

solve 1/3(x-2)-1/2(x+1)=5/6(x+2)​

Answer 1

Answer:

(x + 1)/2 + 2/(x + 1) = (x + 1)/3 + 3/(x + 1) -5/6

Or, (x + 1)/2 -(x + 1)/3 + 2/(x + 1) - 3/(x + 1) = -5/6

Or, (x + 1)/6 - 1/(x + 1) = -5/6

Or, (x + 1)/6 - 1/(x + 1) +5/6 = 0

Or, 6(x + 1)^2 - 1 + 5 (x +1) = 0

Or, 6 (x + 1)^2 + 5(x + 1) -1 = 0

Now this is a quadratic equation in (x + 1).

On solving the above equation, we obtain

(x + 1) = 1/6 or -1

Thus x = -5/6 or -2.

This is the required solution.

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Answer 2

I hope you will understand