What is the answer to (x-2x)/(x-2)=4 ?

The answer to (x-2x)/(x-2)=4 is x= 8/5

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(x-2x)/(x-2)=4

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

x = \frac{8}{5}

Decimal Notation

x = 1.6

Solution steps

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

Simplify

\frac{x - 2 x}{x - 2} : - \frac{x}{x - 2}

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

Multiply both sides by

x - 2

- x = 4 (x - 2)

Expand

4 (x - 2) : 4 x - 8

- x = 4 x - 8

Move

4 x

to the left side

- 5 x = - 8

Divide both sides by

- 5

x = \frac{8}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{8}{5}

1 - (1 + x)^{- 10} = 0

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

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

12 = \frac{2}{x - 3} + 14

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