What is the answer to 1+3/x = 1/4 ?

The answer to 1+3/x = 1/4 is x=-4

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1+3/x = 1/4

1 + \frac{3}{x} = \frac{1}{4}

x = - 4

Solution steps

1 + \frac{3}{x} = \frac{1}{4}

Multiply by LCM

4 x + 12 = x

Move

12

to the right side

4 x = x - 12

Move

x

to the left side

3 x = - 12

Divide both sides by

3

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 4

\frac{x - 26}{x} = \frac{31}{100}

\frac{1}{z} - 2 \cdot z = 1

\frac{2}{c + 3} - 3 = \frac{7}{c + 3}

\frac{x + 1}{x - 8} = 10

1.2 = \frac{0.091}{120 \cdot x}