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

The answer to x+(2x)/(x-2)=(3x-2)/(x-2) is x=1

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x+(2x)/(x-2)=(3x-2)/(x-2)

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

x = 1

Solution steps

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

Multiply both sides by

x - 2

x (x - 2) + 2 x = 3 x - 2

Solve

x (x - 2) + 2 x = 3 x - 2 : x = 2, x = 1

x = 2, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

x = 1

1 = \frac{8 x ^{2}}{x ^{4} - 16}

\frac{y}{y - 3} + \frac{6}{y + 3} = 1

y, 9 x y = x^{3} + \frac{1}{y}

\frac{4}{r} = \frac{8}{h}

0 = 2 n - \frac{16000}{n ^{2}}

What is the answer to x+(2x)/(x-2)=(3x-2)/(x-2) ?
The answer to x+(2x)/(x-2)=(3x-2)/(x-2) is x=1
Solve for x: x+(2x)/(x-2)=(3x-2)/(x-2)
The solution is x=1