What is the answer to (10)/(5x-9)= 8/(2x-8) ?

The answer to (10)/(5x-9)= 8/(2x-8) is x=-2/5

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(10)/(5x-9)= 8/(2x-8)

\frac{10}{5 x - 9} = \frac{8}{2 x - 8}

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

\frac{10}{5 x - 9} = \frac{8}{2 x - 8}

Cross multiply

10 x - 40 = 20 x - 36

Move

40

to the right side

10 x = 20 x + 4

Move

20 x

to the left side

- 10 x = 4

Divide both sides by

- 10

x = - \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = \frac{9}{5}, x = 4

Combine undefined points with solutions:

x = - \frac{2}{5}

\frac{5}{3} = \frac{2}{x + 4}

2 + \frac{3}{( 2 x + 1 ) ( 2 x - 1 )} = 3

\frac{5}{x - 7} = \frac{3}{x - 2}

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

\frac{3}{x + 1} = \frac{x}{x - 1} - 1

What is the answer to (10)/(5x-9)= 8/(2x-8) ?
The answer to (10)/(5x-9)= 8/(2x-8) is x=-2/5
Solve for x: (10)/(5x-9)= 8/(2x-8)
The solution is x=-2/5