What is the answer to (2^2-8x)/(1-x)=5 ?

The answer to (2^2-8x)/(1-x)=5 is x=-1/3

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(2^2-8x)/(1-x)=5

\frac{2 ^{2} - 8 x}{1 - x} = 5

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

\frac{2 ^{2} - 8 x}{1 - x} = 5

Simplify

\frac{2 ^{2} - 8 x}{1 - x} : \frac{4 - 8 x}{1 - x}

\frac{4 - 8 x}{1 - x} = 5

Multiply both sides by

1 - x

4 - 8 x = 5 (1 - x)

Expand

5 (1 - x) : 5 - 5 x

4 - 8 x = 5 - 5 x

Move

4

to the right side

- 8 x = - 5 x + 1

Move

5 x

to the left side

- 3 x = 1

Divide both sides by

- 3

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - \frac{1}{3}

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

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

\frac{( x - 2 )}{5} = \frac{3}{x}

\frac{x}{2 - x} = 6 - x

\frac{6}{w + 5} - 4 = \frac{2}{w + 5}

What is the answer to (2^2-8x)/(1-x)=5 ?
The answer to (2^2-8x)/(1-x)=5 is x=-1/3
Solve for x: (2^2-8x)/(1-x)=5
The solution is x=-1/3