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

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

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

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

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

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

Simplify

- \frac{6}{3 x} : - \frac{2}{x}

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

Multiply both sides by

x

1 = - 2 + 5 x

Switch sides

- 2 + 5 x = 1

Move

2

to the right side

5 x = 3

Divide both sides by

5

x = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{5}

\frac{3 x + 2}{x ^{2} + 7 x + 12} = 0

400 y^{- 4} - 41 y^{- 2} + 1 = 0

\frac{6}{9} = \frac{8}{x}

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

g, p = \frac{d}{r - g}