What is the answer to 1/(10-(x-3/25))= 1/50 ?

The answer to 1/(10-(x-3/25))= 1/50 is x=-997/25

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1/(10-(x-3/25))= 1/50

\frac{1}{10 - ( x - \frac{3}{25} )} = \frac{1}{50}

x = - \frac{997}{25}

Decimal Notation

x = - 39.88

Solution steps

\frac{1}{10 - ( x - \frac{3}{25} )} = \frac{1}{50}

Cross multiply

1250 = - 25 x + 253

Switch sides

- 25 x + 253 = 1250

Move

253

to the right side

- 25 x = 997

Divide both sides by

- 25

x = - \frac{997}{25}

Verify Solutions

Find undefined (singularity) points:

x = \frac{253}{25}

Combine undefined points with solutions:

x = - \frac{997}{25}

\frac{( 2 ^{x - 1} \cdot 4 ^{2 x + 1} )}{( 8 ^{x - 1} )} = 64

\frac{( 0.4 y - 3 )}{( 1.5 y + 9 )} = \frac{- 7}{5}

x, \frac{x}{y} + \frac{y}{x} = 2

\frac{( j + 4 )}{( j + 5 )} - \frac{( j + 2 )}{( j + 3 )} = \frac{1}{24}

\frac{4}{x} + \frac{3}{( x ^{2} + x )} = 0

What is the answer to 1/(10-(x-3/25))= 1/50 ?
The answer to 1/(10-(x-3/25))= 1/50 is x=-997/25
Solve for x: 1/(10-(x-3/25))= 1/50
The solution is x=-997/25