What is the answer to ((8.7-x))/(10000)-(0.7)/(10000)=(\frac{(x-0.7))/(390)}{250} ?

The answer to ((8.7-x))/(10000)-(0.7)/(10000)=(\frac{(x-0.7))/(390)}{250} is x= 1574/215

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((8.7-x))/(10000)-(0.7)/(10000)=(\frac{(x-0.7))/(390)}{250}

\frac{( 8.7 - x )}{10000} - \frac{0.7}{10000} = \frac{\frac{( x - 0.7 )}{390}}{250}

x = \frac{1574}{215}

Decimal Notation

x = 7.32093 \dots

Solution steps

\frac{( 8.7 - x )}{10000} - \frac{0.7}{10000} = \frac{\frac{( x - 0.7 )}{390}}{250}

\frac{8.7 - x}{10000} - \frac{0.7}{10000} = \frac{\frac{( x - 0.7 )}{390}}{250}

Expand

\frac{8.7 - x}{10000} - \frac{0.7}{10000} : - \frac{x}{10000} + \frac{1}{1250}

Expand

\frac{\frac{x - 0.7}{390}}{250} : \frac{x}{97500} - \frac{0.7}{97500}

- \frac{x}{10000} + \frac{1}{1250} = \frac{x}{97500} - \frac{0.7}{97500}

Multiply by LCM

- 39 x + 312 = 4 x - \frac{14}{5}

Move

312

to the right side

- 39 x = 4 x - \frac{1574}{5}

Move

4 x

to the left side

- 43 x = - \frac{1574}{5}

Divide both sides by

- 43

x = \frac{1574}{215}

\frac{4 \cdot 16 \cdot 27 \cdot 3 ^{- 2}}{2 ^{6} \cdot 3 ^{- 2} \cdot 3 ^{3} \cdot 2 ^{6}}

7 b - 4 \leq 10

x < 8

3 x^{3} - 5 x^{2} + x + 1

\frac{2}{13}

What is the answer to ((8.7-x))/(10000)-(0.7)/(10000)=(\frac{(x-0.7))/(390)}{250} ?
The answer to ((8.7-x))/(10000)-(0.7)/(10000)=(\frac{(x-0.7))/(390)}{250} is x= 1574/215
Solve for x: ((8.7-x))/(10000)-(0.7)/(10000)=(\frac{(x-0.7))/(390)}{250}
The solution is x= 1574/215