What is the answer to x+2=(6x-3)/x ?

The answer to x+2=(6x-3)/x is x=3,x=1

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x+2=(6x-3)/x

x + 2 = \frac{6 x - 3}{x}

x = 3, x = 1

Solution steps

x + 2 = \frac{6 x - 3}{x}

Multiply both sides by

x

x^{2} + 2 x = 6 x - 3

Solve

x^{2} + 2 x = 6 x - 3 : x = 3, x = 1

x = 3, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = 1

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

\frac{3}{0.8 x} - \frac{5}{1.6 x} = 1.25

(\frac{6000}{x}) - 100 - 50 x = 250

\frac{1}{x ^{2}} + \frac{5}{x} = 7

\frac{10}{x} + \frac{3}{x - 6} = 1