What is the answer to (3x}{x-2}=\frac{3x+10)/x ?

The answer to (3x}{x-2}=\frac{3x+10)/x is x=5

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(3x}{x-2}=\frac{3x+10)/x

\frac{3 x}{x - 2} = \frac{3 x + 10}{x}

x = 5

Solution steps

\frac{3 x}{x - 2} = \frac{3 x + 10}{x}

Cross multiply

3 x^{2} = 3 x^{2} + 4 x - 20

Subtract

3 x^{2} + 4 x

from both sides

3 x^{2} - (3 x^{2} + 4 x) = 3 x^{2} + 4 x - 20 - (3 x^{2} + 4 x)

Simplify

- 4 x = - 20

Divide both sides by

- 4

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = 5

\frac{600}{x + 10} - 5 = x + 7

x, \frac{y}{x} = 1

x + 5 = \frac{14 - 1}{2 x}

\frac{6}{2 n - 5} = \frac{2}{n - 7}

\frac{5}{y + 3} - 2 = \frac{7}{y + 3}

What is the answer to (3x}{x-2}=\frac{3x+10)/x ?
The answer to (3x}{x-2}=\frac{3x+10)/x is x=5
Solve for x: (3x}{x-2}=\frac{3x+10)/x
The solution is x=5