What is the answer to (4x-5)/(7x)=3 ?

The answer to (4x-5)/(7x)=3 is x=-5/17

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(4x-5)/(7x)=3

\frac{4 x - 5}{7 x} = 3

x = - \frac{5}{17}

Decimal Notation

x = - 0.29411 \dots

Solution steps

\frac{4 x - 5}{7 x} = 3

Multiply both sides by

x

\frac{4 x - 5}{7} = 3 x

Multiply both sides by

7

4 x - 5 = 21 x

Move

5

to the right side

4 x = 21 x + 5

Move

21 x

to the left side

- 17 x = 5

Divide both sides by

- 17

x = - \frac{5}{17}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{5}{17}

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

\frac{7}{x - 4} - \frac{6}{x - 2} = 2

\frac{x ^{2} + 3 x - 18}{6 x} = \frac{2 - 3 x}{3}

t, y = \frac{t - a}{t + 3}

2 x - \frac{1}{x} - 1 = 0