What is the answer to 1-9/(4x)= 7/10 ?

The answer to 1-9/(4x)= 7/10 is x= 15/2

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1-9/(4x)= 7/10

1 - \frac{9}{4 x} = \frac{7}{10}

x = \frac{15}{2}

Decimal Notation

x = 7.5

Solution steps

1 - \frac{9}{4 x} = \frac{7}{10}

Multiply by LCM

20 x - 45 = 14 x

Move

45

to the right side

20 x = 14 x + 45

Move

14 x

to the left side

6 x = 45

Divide both sides by

6

x = \frac{15}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{15}{2}

\frac{160}{100} = \frac{38.4}{x}

a^{- 6} = \frac{1}{a ^{6}}

\frac{z + 10}{z} = 6

V, C = \frac{Q}{V}

0.9 = 2 - \frac{1}{x}