Solve the following for x?

Question

and verify your answer by subsitution

2/x=(3/(x-2))-1

Answer 1

2/x=(3/(x-2))-1

Multiply thru by x(x-2)

2(x-2) = 3x - x(x-2)

combine terms and solve for x

x² - 3x - 4 = 0

(x+1)(x-4) = 0

x = 4, x = -1

proof for x = 4

2/4=(3/(4-2))-1

1/2 = 1/2

QED
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