What is the answer to 1-2/(3-\frac{4){5-6/x}}=0 ?

The answer to 1-2/(3-\frac{4){5-6/x}}=0 is x=6

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1-2/(3-\frac{4){5-6/x}}=0

1 - \frac{2}{3 - \frac{4}{5 - \frac{6}{x}}} = 0

x = 6

Solution steps

1 - \frac{2}{3 - \frac{4}{5 - \frac{6}{x}}} = 0

Simplify

- \frac{2}{3 - \frac{4}{5 - \frac{6}{x}}} : - \frac{2 ( 5 x - 6 )}{11 x - 18}

1 - \frac{2 ( 5 x - 6 )}{11 x - 18} = 0

Multiply both sides by

11 x - 18

11 x - 18 - 2 (5 x - 6) = 0

Move

18

to the right side

11 x - 2 (5 x - 6) = 18

Expand

- 2 (5 x - 6) : - 10 x + 12

11 x - 10 x + 12 = 18

Add similar elements:

11 x - 10 x = x

x + 12 = 18

Move

12

to the right side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = \frac{18}{11}, x = \frac{6}{5}, x = 0

Combine undefined points with solutions:

x = 6

\frac{11}{x + 4} = - \frac{11}{7}

1 - \frac{2}{x ^{2}} = 0

n + \frac{2}{n} = \frac{19}{3}

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

x - \frac{2}{x + 1} = \frac{5}{x + 1} - 7

What is the answer to 1-2/(3-\frac{4){5-6/x}}=0 ?
The answer to 1-2/(3-\frac{4){5-6/x}}=0 is x=6
Solve for x: 1-2/(3-\frac{4){5-6/x}}=0
The solution is x=6