What is the answer to (4x-10)/x =8 ?

The answer to (4x-10)/x =8 is x=-5/2

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(4x-10)/x =8

\frac{4 x - 10}{x} = 8

x = - \frac{5}{2}

Decimal Notation

x = - 2.5

Solution steps

\frac{4 x - 10}{x} = 8

Multiply both sides by

x

4 x - 10 = 8 x

Move

10

to the right side

4 x = 8 x + 10

Move

8 x

to the left side

- 4 x = 10

Divide both sides by

- 4

x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{5}{2}

0 = \frac{2}{x + 1}

\frac{x + 5}{x} = \frac{x + 13}{x + 3}

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

\frac{x - 7}{x + 2} = \frac{1}{4}

\frac{12}{5} = \frac{36}{x}