What is the answer to 4/(2x-1)=10 ?

The answer to 4/(2x-1)=10 is x= 7/10

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4/(2x-1)=10

\frac{4}{2 x - 1} = 10

x = \frac{7}{10}

Decimal Notation

x = 0.7

Solution steps

\frac{4}{2 x - 1} = 10

Multiply both sides by

2 x - 1

4 = 10 (2 x - 1)

Switch sides

10 (2 x - 1) = 4

Divide both sides by

10

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

Move

1

to the right side

2 x = \frac{7}{5}

Divide both sides by

2

x = \frac{7}{10}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = \frac{7}{10}

\frac{22}{x} = \frac{88}{100}

\frac{2 t}{( 4 - t ^{2} ) ^{2}} = 0

\frac{125}{x ^{2}} + \frac{35}{x} + 2 = 8

\frac{1}{x - 3} + \frac{1}{x + 4} = \frac{9}{8}

k, k = \frac{2 π}{10 mm}