What is the answer to 5=(x/(150))/(\frac{80-x){100}} ?

The answer to 5=(x/(150))/(\frac{80-x){100}} is x= 1200/17

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5=(x/(150))/(\frac{80-x){100}}

5 = \frac{\frac{x}{150}}{\frac{80 - x}{100}}

x = \frac{1200}{17}

Decimal Notation

x = 70.58823 \dots

Solution steps

5 = \frac{\frac{x}{150}}{\frac{80 - x}{100}}

Simplify

\frac{\frac{x}{150}}{\frac{80 - x}{100}} : \frac{2 x}{3 ( - x + 80 )}

5 = \frac{2 x}{3 ( - x + 80 )}

Multiply both sides by

3 (- x + 80)

15 (- x + 80) = 2 x

Expand

15 (- x + 80) : - 15 x + 1200

- 15 x + 1200 = 2 x

Move

1200

to the right side

- 15 x = 2 x - 1200

Move

2 x

to the left side

- 17 x = - 1200

Divide both sides by

- 17

x = \frac{1200}{17}

Verify Solutions

Find undefined (singularity) points:

x = 80

Combine undefined points with solutions:

x = \frac{1200}{17}

5.9 \cdot 1 0^{- 2} = \frac{x ^{2}}{0.0288 - x}

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

2 x - x^{- 2} = 0

\frac{1}{6} + \frac{1}{4} = \frac{1}{x}

\frac{4 x ^{2}}{40 x} = 3

What is the answer to 5=(x/(150))/(\frac{80-x){100}} ?
The answer to 5=(x/(150))/(\frac{80-x){100}} is x= 1200/17
Solve for x: 5=(x/(150))/(\frac{80-x){100}}
The solution is x= 1200/17