What is the answer to (8x-1)/(x+1)-7/(8x)=8 ?

The answer to (8x-1)/(x+1)-7/(8x)=8 is x=-7/79

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(8x-1)/(x+1)-7/(8x)=8

Solution

\frac{8 x - 1}{x + 1} - \frac{7}{8 x} = 8

Solution

x = - \frac{7}{79}

Decimal

x = - 0.08860 \dots

Solution steps

\frac{8 x - 1}{x + 1} - \frac{7}{8 x} = 8

Multiply by LCM

8 x (8 x - 1) - 7 (x + 1) = 64 x (x + 1)

Expand

8 x (8 x - 1) : 64 x^{2} - 8 x

64 x^{2} - 8 x - 7 (x + 1) = 64 x (x + 1)

Expand

- 7 (x + 1) : - 7 x - 7

64 x^{2} - 8 x - 7 x - 7 = 64 x (x + 1)

Add similar elements:

- 8 x - 7 x = - 15 x

64 x^{2} - 15 x - 7 = 64 x (x + 1)

Expand

64 x (x + 1) : 64 x^{2} + 64 x

64 x^{2} - 15 x - 7 = 64 x^{2} + 64 x

Move

7

to the right side

64 x^{2} - 15 x = 64 x^{2} + 64 x + 7

Subtract

64 x^{2} + 64 x

from both sides

64 x^{2} - 15 x - (64 x^{2} + 64 x) = 64 x^{2} + 64 x + 7 - (64 x^{2} + 64 x)

Simplify

- 79 x = 7

Divide both sides by

- 79

x = - \frac{7}{79}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Combine undefined points with solutions:

x = - \frac{7}{79}

Graph

Popular Examples

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x^{2} - 5 x - 2 - \frac{24}{x ^{2} - 5 x} = 0

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\frac{9 x}{x + 9} + 1 = - \frac{1}{x + 9}

Frequently Asked Questions (FAQ)

What is the answer to (8x-1)/(x+1)-7/(8x)=8 ?
The answer to (8x-1)/(x+1)-7/(8x)=8 is x=-7/79
Solve for x: (8x-1)/(x+1)-7/(8x)=8
The solution is x=-7/79

(8x-1)/(x+1)-7/(8x)=8

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to (8x-1)/(x+1)-7/(8x)=8 ?

Solve for x: (8x-1)/(x+1)-7/(8x)=8