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

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

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

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

x = \frac{5}{4}

Solution steps

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

Simplify

\frac{x - 5}{- x} : - \frac{x - 5}{x}

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

Multiply both sides by

x

- (x - 5) = 3 x

Expand

- (x - 5) : - x + 5

- x + 5 = 3 x

Move

5

to the right side

- x = 3 x - 5

Move

3 x

to the left side

- 4 x = - 5

Divide both sides by

- 4

x = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{4}

2 x = 17 + \frac{55}{x}

r, I = \frac{E}{r + r}

3 x^{- 2} + x^{- 1} - 4 = 0

8 = \frac{7}{w + 8}

d, F = \frac{k Q c}{d}