What is the answer to (-8)/x =(-3)/(4x-10) ?

The answer to (-8)/x =(-3)/(4x-10) is x= 80/29

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(-8)/x =(-3)/(4x-10)

\frac{- 8}{x} = \frac{- 3}{4 x - 10}

x = \frac{80}{29}

Decimal Notation

x = 2.75862 \dots

Solution steps

\frac{- 8}{x} = \frac{- 3}{4 x - 10}

Cross multiply

- 32 x + 80 = - x \cdot 3

Move

80

to the right side

- 32 x = - x \cdot 3 - 80

Move

x 3

to the left side

- 29 x = - 80

Divide both sides by

- 29

x = \frac{80}{29}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = \frac{5}{2}

Combine undefined points with solutions:

x = \frac{80}{29}

\frac{1}{x} = a + b

b, x = \frac{( 7 a - b )}{y b}

24 a^{- 2} + 61 a^{- 1} - 8 = 0

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

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

What is the answer to (-8)/x =(-3)/(4x-10) ?
The answer to (-8)/x =(-3)/(4x-10) is x= 80/29
Solve for x: (-8)/x =(-3)/(4x-10)
The solution is x= 80/29