What is the answer to (60}{w-5}-\frac{18)/w =(40)/w ?

The answer to (60}{w-5}-\frac{18)/w =(40)/w is w=-145

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(60}{w-5}-\frac{18)/w =(40)/w

\frac{60}{w - 5} - \frac{18}{w} = \frac{40}{w}

w = - 145

Solution steps

\frac{60}{w - 5} - \frac{18}{w} = \frac{40}{w}

Multiply by LCM

60 w - 18 (w - 5) = 40 (w - 5)

Expand

- 18 (w - 5) : - 18 w + 90

60 w - 18 w + 90 = 40 (w - 5)

Add similar elements:

60 w - 18 w = 42 w

42 w + 90 = 40 (w - 5)

Expand

40 (w - 5) : 40 w - 200

42 w + 90 = 40 w - 200

Move

90

to the right side

42 w = 40 w - 290

Move

40 w

to the left side

2 w = - 290

Divide both sides by

2

w = - 145

Verify Solutions

Find undefined (singularity) points:

w = 0, w = 5

Combine undefined points with solutions:

w = - 145

\frac{6}{x ^{2}} - \frac{43}{x} = 15

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

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

\frac{1}{a} + \frac{2}{5} = \frac{1}{2}

\frac{4 x}{3 x + 5} + \frac{3 x - 1}{2 + 1} = 1

What is the answer to (60}{w-5}-\frac{18)/w =(40)/w ?
The answer to (60}{w-5}-\frac{18)/w =(40)/w is w=-145
Solve for w: (60}{w-5}-\frac{18)/w =(40)/w
The solution is w=-145