What is the answer to 4/5 =(2x-10)/(x-2) ?

The answer to 4/5 =(2x-10)/(x-2) is x=7

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4/5 =(2x-10)/(x-2)

\frac{4}{5} = \frac{2 x - 10}{x - 2}

x = 7

Solution steps

\frac{4}{5} = \frac{2 x - 10}{x - 2}

Cross multiply

4 x - 8 = 10 x - 50

Move

8

to the right side

4 x = 10 x - 42

Move

10 x

to the left side

- 6 x = - 42

Divide both sides by

- 6

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 7

- \frac{10}{n - 10} = \frac{5}{8}

\frac{x}{x + 5} = \frac{x - 4}{x}

- \frac{2 x}{( x ^{2} - 1 ) ^{2}} = 0

\frac{9}{5} = \frac{3}{x + 7}

\frac{3}{( 1 - c )} = 4

What is the answer to 4/5 =(2x-10)/(x-2) ?
The answer to 4/5 =(2x-10)/(x-2) is x=7
Solve for x: 4/5 =(2x-10)/(x-2)
The solution is x=7