What is the answer to (10-7x)/(6-7x)=(5x-4)/(5x) ?

The answer to (10-7x)/(6-7x)=(5x-4)/(5x) is x=3

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(10-7x)/(6-7x)=(5x-4)/(5x)

\frac{10 - 7 x}{6 - 7 x} = \frac{5 x - 4}{5 x}

x = 3

Solution steps

\frac{10 - 7 x}{6 - 7 x} = \frac{5 x - 4}{5 x}

Cross multiply

50 x - 35 x^{2} = - 35 x^{2} + 58 x - 24

Subtract

- 35 x^{2} + 58 x

from both sides

50 x - 35 x^{2} - (- 35 x^{2} + 58 x) = - 35 x^{2} + 58 x - 24 - (- 35 x^{2} + 58 x)

Simplify

- 8 x = - 24

Divide both sides by

- 8

x = 3

Verify Solutions

Find undefined (singularity) points:

x = \frac{6}{7}, x = 0

Combine undefined points with solutions:

x = 3

\frac{1}{x} = \frac{1}{x ( x + 1 )}

\frac{9}{x ^{2}} = 0

y, x = \frac{2 y}{3 y - 1}

\frac{x ^{2} - 6 x + 5}{x ^{2} - 2} = 3

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

What is the answer to (10-7x)/(6-7x)=(5x-4)/(5x) ?
The answer to (10-7x)/(6-7x)=(5x-4)/(5x) is x=3
Solve for x: (10-7x)/(6-7x)=(5x-4)/(5x)
The solution is x=3