What is the answer to 1/(7x+3)=5 ?

The answer to 1/(7x+3)=5 is x=-2/5

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1/(7x+3)=5

\frac{1}{7 x + 3} = 5

x = - \frac{2}{5}

Decimal

x = - 0.4

Solution steps

\frac{1}{7 x + 3} = 5

Multiply both sides by

7 x + 3

1 = 5 (7 x + 3)

Switch sides

5 (7 x + 3) = 1

Divide both sides by

5

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

Move

3

to the right side

7 x = - \frac{14}{5}

Divide both sides by

7

x = - \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{7}

Combine undefined points with solutions:

x = - \frac{2}{5}

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

1 = \frac{8 x ^{2}}{x ^{4} - 16}

\frac{y}{y - 3} + \frac{6}{y + 3} = 1

y, 9 x y = x^{3} + \frac{1}{y}

\frac{4}{r} = \frac{8}{h}