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

The answer to (4x+5)/4-(5x)/(x-3)=x is x=-1

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

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

x = - 1

Solution steps

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

Multiply by LCM

4 x^{2} - 27 x - 15 = 4 x^{2} - 12 x

Move

15

to the right side

4 x^{2} - 27 x = 4 x^{2} - 12 x + 15

Subtract

4 x^{2} - 12 x

from both sides

4 x^{2} - 27 x - (4 x^{2} - 12 x) = 4 x^{2} - 12 x + 15 - (4 x^{2} - 12 x)

Simplify

- 15 x = 15

Divide both sides by

- 15

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 1

\frac{3}{x ^{2}} - \frac{50}{x} = 17

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

\frac{5 x - 3}{x} + \frac{x - 1}{5} = 2

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

v, c = \frac{q}{v}

What is the answer to (4x+5)/4-(5x)/(x-3)=x ?
The answer to (4x+5)/4-(5x)/(x-3)=x is x=-1
Solve for x: (4x+5)/4-(5x)/(x-3)=x
The solution is x=-1