What is the answer to (x-2)/(2x-8)= 5/8 ?

The answer to (x-2)/(2x-8)= 5/8 is x=12

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(x-2)/(2x-8)= 5/8

\frac{x - 2}{2 x - 8} = \frac{5}{8}

x = 12

Solution steps

\frac{x - 2}{2 x - 8} = \frac{5}{8}

Cross multiply

8 x - 16 = 10 x - 40

Move

16

to the right side

8 x = 10 x - 24

Move

10 x

to the left side

- 2 x = - 24

Divide both sides by

- 2

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 12

a + 24 = - \frac{144}{a}

x, \frac{a - c}{x - a} = m

\frac{x + 6}{x + 3} = \frac{4}{7}

\frac{x - 14}{2 x} = 4

\frac{3}{x} = \frac{1}{5}

What is the answer to (x-2)/(2x-8)= 5/8 ?
The answer to (x-2)/(2x-8)= 5/8 is x=12
Solve for x: (x-2)/(2x-8)= 5/8
The solution is x=12