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

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

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((4k-10))/k =8

\frac{( 4 k - 10 )}{k} = 8

k = - \frac{5}{2}

Decimal Notation

k = - 2.5

Solution steps

\frac{( 4 k - 10 )}{k} = 8

Simplify

\frac{( 4 k - 10 )}{k} : \frac{4 k - 10}{k}

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

Multiply both sides by

k

4 k - 10 = 8 k

Move

10

to the right side

4 k = 8 k + 10

Move

8 k

to the left side

- 4 k = 10

Divide both sides by

- 4

k = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = - \frac{5}{2}

\frac{36}{x} = 4

x - 20 = \frac{5}{6 x}

\frac{1}{x} = 0.003

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

\frac{80}{x} - \frac{80}{x + 4} = 1