What is the answer to 1/(2x)+1/(3x)=1 ?

The answer to 1/(2x)+1/(3x)=1 is x= 5/6

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1/(2x)+1/(3x)=1

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

x = \frac{5}{6}

Decimal Notation

x = 0.83333 \dots

Solution steps

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

Multiply by LCM

5 = 6 x

Switch sides

6 x = 5

Divide both sides by

6

x = \frac{5}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{6}

\frac{1}{2 x} + \frac{1}{3 x} = 5

\frac{6 x}{x + 1} = 4 - \frac{6}{x + 1}

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

t, R = \frac{d}{1 - t}

y, x = \frac{4 y + 7}{5 y - 2}