What is the answer to 135=(180(x-2))/x ?

The answer to 135=(180(x-2))/x is x=8

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135=(180(x-2))/x

135 = \frac{180 ( x - 2 )}{x}

x = 8

Solution steps

135 = \frac{180 ( x - 2 )}{x}

Multiply both sides by

x

135 x = 180 (x - 2)

Expand

180 (x - 2) : 180 x - 360

135 x = 180 x - 360

Move

180 x

to the left side

- 45 x = - 360

Divide both sides by

- 45

x = 8

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 8

\frac{3 x ^{2} + a x + a + 3}{x ^{2} + x - 2}

1 + \frac{2}{x - 8} = \frac{2 x}{x ^{2} - x - 56}

\frac{1}{5500} = \frac{0.1}{x}

\frac{x ^{2} - 6 x + 5}{x - 1} = 0

\frac{x + 1}{x - 2} = \frac{x + 3}{x - 4}