What is the answer to (7x-4)/(x+2)-4/(7x)=7 ?

The answer to (7x-4)/(x+2)-4/(7x)=7 is x=-4/65

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(7x-4)/(x+2)-4/(7x)=7

Solution

\frac{7 x - 4}{x + 2} - \frac{4}{7 x} = 7

Solution

x = - \frac{4}{65}

Decimal

x = - 0.06153 \dots

Solution steps

\frac{7 x - 4}{x + 2} - \frac{4}{7 x} = 7

Multiply by LCM

7 x (7 x - 4) - 4 (x + 2) = 49 x (x + 2)

Expand

7 x (7 x - 4) : 49 x^{2} - 28 x

49 x^{2} - 28 x - 4 (x + 2) = 49 x (x + 2)

Expand

- 4 (x + 2) : - 4 x - 8

49 x^{2} - 28 x - 4 x - 8 = 49 x (x + 2)

Add similar elements:

- 28 x - 4 x = - 32 x

49 x^{2} - 32 x - 8 = 49 x (x + 2)

Expand

49 x (x + 2) : 49 x^{2} + 98 x

49 x^{2} - 32 x - 8 = 49 x^{2} + 98 x

Move

8

to the right side

49 x^{2} - 32 x = 49 x^{2} + 98 x + 8

Subtract

49 x^{2} + 98 x

from both sides

49 x^{2} - 32 x - (49 x^{2} + 98 x) = 49 x^{2} + 98 x + 8 - (49 x^{2} + 98 x)

Simplify

- 130 x = 8

Divide both sides by

- 130

x = - \frac{4}{65}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = - \frac{4}{65}

Graph

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Frequently Asked Questions (FAQ)

What is the answer to (7x-4)/(x+2)-4/(7x)=7 ?
The answer to (7x-4)/(x+2)-4/(7x)=7 is x=-4/65
Solve for x: (7x-4)/(x+2)-4/(7x)=7
The solution is x=-4/65

(7x-4)/(x+2)-4/(7x)=7

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to (7x-4)/(x+2)-4/(7x)=7 ?

Solve for x: (7x-4)/(x+2)-4/(7x)=7