What is the answer to (x-2)/x = 1/2 ?

The answer to (x-2)/x = 1/2 is x=4

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(x-2)/x = 1/2

\frac{x - 2}{x} = \frac{1}{2}

x = 4

Solution steps

\frac{x - 2}{x} = \frac{1}{2}

Cross multiply

2 x - 4 = x

Move

4

to the right side

2 x = x + 4

Move

x

to the left side

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

\frac{60}{r} = - 10

0 = 20 - 7260 x^{- 2}

1200 = \frac{3350}{( 1 + x ) ^{8}}

\frac{5}{4 x ^{2}} = 25

\frac{1}{( x - 4 )} = 0