What is the answer to (-8)/(7x)+1= 5/7 ?

The answer to (-8)/(7x)+1= 5/7 is x=4

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(-8)/(7x)+1= 5/7

\frac{- 8}{7 x} + 1 = \frac{5}{7}

x = 4

Solution steps

\frac{- 8}{7 x} + 1 = \frac{5}{7}

Multiply by LCM

- 8 + 7 x = 5 x

Move

8

to the right side

7 x = 5 x + 8

Move

5 x

to the left side

2 x = 8

Divide both sides by

2

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

5 x + 2 x^{- 1} = - 11

\frac{4}{6 x + \frac{3 x}{2}} = 1

\frac{12}{x} = 3

\frac{7}{3 x + 10} = \frac{2}{x - 3}

x^{- 2} + 4 x^{- 1} + 3 = 0