What is the answer to 1/(2*(x+1/5))= 9/5 ?

The answer to 1/(2*(x+1/5))= 9/5 is x= 7/90

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1/(2*(x+1/5))= 9/5

\frac{1}{2 \cdot ( x + \frac{1}{5} )} = \frac{9}{5}

x = \frac{7}{90}

Decimal Notation

x = 0.07777 \dots

Solution steps

\frac{1}{2 ( x + \frac{1}{5} )} = \frac{9}{5}

Cross multiply

25 = 18 (5 x + 1)

Switch sides

18 (5 x + 1) = 25

Divide both sides by

18

5 x + 1 = \frac{25}{18}

Move

1

to the right side

5 x = \frac{7}{18}

Divide both sides by

5

x = \frac{7}{90}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{5}

Combine undefined points with solutions:

x = \frac{7}{90}

\frac{2}{( 5 x )} - \frac{1}{30} = \frac{5}{( 2 x )}

\frac{\frac{11}{3}}{\frac{x}{5}} = \frac{5}{9}

8 (\frac{a ^{3} - 1}{a ^{3}}) = 63

\frac{x ^{2} + 5}{2 x} = 3

\frac{( x + 3 )}{( x - 2 )} - \frac{( 1 - x )}{x} = \frac{41}{4}

What is the answer to 1/(2*(x+1/5))= 9/5 ?
The answer to 1/(2*(x+1/5))= 9/5 is x= 7/90
Solve for x: 1/(2*(x+1/5))= 9/5
The solution is x= 7/90