What is the answer to (3x-2)/5 = 8/x ?

The answer to (3x-2)/5 = 8/x is x=4,x=-10/3

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(3x-2)/5 = 8/x

\frac{3 x - 2}{5} = \frac{8}{x}

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

Solution steps

\frac{3 x - 2}{5} = \frac{8}{x}

Cross multiply

(3 x - 2) x = 40

Solve

(3 x - 2) x = 40 : x = 4, x = - \frac{10}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

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

x, R = \frac{y}{x} x^{100}

4 = \frac{16}{x}

x, x + k + \frac{9}{x} = 0

2 x^{- 1} = 1

What is the answer to (3x-2)/5 = 8/x ?
The answer to (3x-2)/5 = 8/x is x=4,x=-10/3
Solve for x: (3x-2)/5 = 8/x
The solution is x=4,x=-10/3