What is the answer to (5x-3)/(x+4)-8/(5x)=5 ?

The answer to (5x-3)/(x+4)-8/(5x)=5 is x=-32/123

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(5x-3)/(x+4)-8/(5x)=5

Solution

\frac{5 x - 3}{x + 4} - \frac{8}{5 x} = 5

Solution

x = - \frac{32}{123}

Decimal Notation

x = - 0.26016 \dots

Solution steps

\frac{5 x - 3}{x + 4} - \frac{8}{5 x} = 5

Multiply by LCM

5 x (5 x - 3) - 8 (x + 4) = 25 x (x + 4)

Expand

5 x (5 x - 3) : 25 x^{2} - 15 x

25 x^{2} - 15 x - 8 (x + 4) = 25 x (x + 4)

Expand

- 8 (x + 4) : - 8 x - 32

25 x^{2} - 15 x - 8 x - 32 = 25 x (x + 4)

Add similar elements:

- 15 x - 8 x = - 23 x

25 x^{2} - 23 x - 32 = 25 x (x + 4)

Expand

25 x (x + 4) : 25 x^{2} + 100 x

25 x^{2} - 23 x - 32 = 25 x^{2} + 100 x

Move

32

to the right side

25 x^{2} - 23 x = 25 x^{2} + 100 x + 32

Subtract

25 x^{2} + 100 x

from both sides

25 x^{2} - 23 x - (25 x^{2} + 100 x) = 25 x^{2} + 100 x + 32 - (25 x^{2} + 100 x)

Simplify

- 123 x = 32

Divide both sides by

- 123

x = - \frac{32}{123}

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 0

Combine undefined points with solutions:

x = - \frac{32}{123}

Popular Examples

-1/(x^2)+1/x =0

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

x+8/(x-2)=1+(4x)/(x-2)

x + \frac{8}{x - 2} = 1 + \frac{4 x}{x - 2}

x+9/(2x)= 27/4

x + \frac{9}{2 x} = \frac{27}{4}

(2x+5)/2-(3x)/(x-2)=x

\frac{2 x + 5}{2} - \frac{3 x}{x - 2} = x

3/x+4/(2x)=x-1

\frac{3}{x} + \frac{4}{2 x} = x - 1

Frequently Asked Questions (FAQ)

What is the answer to (5x-3)/(x+4)-8/(5x)=5 ?
The answer to (5x-3)/(x+4)-8/(5x)=5 is x=-32/123
Solve for x: (5x-3)/(x+4)-8/(5x)=5
The solution is x=-32/123

(5x-3)/(x+4)-8/(5x)=5

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to (5x-3)/(x+4)-8/(5x)=5 ?

Solve for x: (5x-3)/(x+4)-8/(5x)=5