What is the answer to 1/(2x)-3/(4x)=1 ?

The answer to 1/(2x)-3/(4x)=1 is x=-1/4

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1/(2x)-3/(4x)=1

\frac{1}{2 x} - \frac{3}{4 x} = 1

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

\frac{1}{2 x} - \frac{3}{4 x} = 1

Multiply by LCM

- 1 = 4 x

Switch sides

4 x = - 1

Divide both sides by

4

x = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{4}

D, 8 = \frac{b}{D}

\frac{x - 2.4}{x + 3.2} = \frac{2.88}{3.84}

- \frac{3 x}{x - 1} - 1 = - \frac{3}{x - 1}

\frac{4}{x + 7} = 2

x, z = \frac{x y}{x - y}