What is the answer to 4/5+3/(4x)=-1/(6x) ?

The answer to 4/5+3/(4x)=-1/(6x) is x=-55/48

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4/5+3/(4x)=-1/(6x)

\frac{4}{5} + \frac{3}{4 x} = - \frac{1}{6 x}

x = - \frac{55}{48}

Decimal Notation

x = - 1.14583 \dots

Solution steps

\frac{4}{5} + \frac{3}{4 x} = - \frac{1}{6 x}

Multiply by LCM

48 x + 45 = - 10

Move

45

to the right side

48 x = - 55

Divide both sides by

48

x = - \frac{55}{48}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{55}{48}

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

\frac{11}{x - 9} = - 10

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

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

\frac{20}{x ^{2} - 4 x + 7} = x + 2

What is the answer to 4/5+3/(4x)=-1/(6x) ?
The answer to 4/5+3/(4x)=-1/(6x) is x=-55/48
Solve for x: 4/5+3/(4x)=-1/(6x)
The solution is x=-55/48