What is the answer to (x-12)/(x-18)=4 ?

The answer to (x-12)/(x-18)=4 is x=20

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(x-12)/(x-18)=4

\frac{x - 12}{x - 18} = 4

x = 20

Solution steps

\frac{x - 12}{x - 18} = 4

Multiply both sides by

x - 18

x - 12 = 4 (x - 18)

Expand

4 (x - 18) : 4 x - 72

x - 12 = 4 x - 72

Move

12

to the right side

x = 4 x - 60

Move

4 x

to the left side

- 3 x = - 60

Divide both sides by

- 3

x = 20

Verify Solutions

Find undefined (singularity) points:

x = 18

Combine undefined points with solutions:

x = 20

2.928 = \frac{100}{x}

a + \frac{1}{a} - 2 = 0

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

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

f^{- 1} (- 2) = 9, f (- 6)