What is the answer to 160=(180(n-2))/n ?

The answer to 160=(180(n-2))/n is n=18

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160=(180(n-2))/n

160 = \frac{180 ( n - 2 )}{n}

n = 18

Solution steps

160 = \frac{180 ( n - 2 )}{n}

Multiply both sides by

n

160 n = 180 (n - 2)

Expand

180 (n - 2) : 180 n - 360

160 n = 180 n - 360

Move

180 n

to the left side

- 20 n = - 360

Divide both sides by

- 20

n = 18

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = 18

3 = \frac{6 - 2}{- 4 - x}

x + \frac{475}{x} = 25

\frac{100 x}{1 + x} = 50

\frac{3}{x - 1} = \frac{x}{x - 1} - 1

\frac{20}{45} + \frac{20}{t} = 1