What is the answer to (5x)/(6x-18)= 1/(x-3) ?

The answer to (5x)/(6x-18)= 1/(x-3) is x= 6/5

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(5x)/(6x-18)= 1/(x-3)

\frac{5 x}{6 x - 18} = \frac{1}{x - 3}

x = \frac{6}{5}

Decimal Notation

x = 1.2

Solution steps

\frac{5 x}{6 x - 18} = \frac{1}{x - 3}

Cross multiply

5 x (x - 3) = 6 x - 18

Solve

5 x (x - 3) = 6 x - 18 : x = 3, x = \frac{6}{5}

x = 3, x = \frac{6}{5}

Verify Solutions

Find undefined (singularity) points:

x = 3

Since the equation is undefined for:

3

x = \frac{6}{5}

1 - \frac{1}{x ^{2}} = 0.8

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

\frac{x}{- 27} = \frac{3}{- x}

80 = \frac{100 x + 70}{40 + x} 0.4

- \frac{x}{( 0.01 x ^{2} + 1 ) ^{2}} = 0

What is the answer to (5x)/(6x-18)= 1/(x-3) ?
The answer to (5x)/(6x-18)= 1/(x-3) is x= 6/5
Solve for x: (5x)/(6x-18)= 1/(x-3)
The solution is x= 6/5