What is the answer to (21)/x =(30)/(x-3) ?

The answer to (21)/x =(30)/(x-3) is x=-7

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(21)/x =(30)/(x-3)

\frac{21}{x} = \frac{30}{x - 3}

x = - 7

Solution steps

\frac{21}{x} = \frac{30}{x - 3}

Cross multiply

21 x - 63 = x \cdot 30

Move

63

to the right side

21 x = x \cdot 30 + 63

Move

x 30

to the left side

- 9 x = 63

Divide both sides by

- 9

x = - 7

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = - 7

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

\frac{5 x + 84}{x} = x

\frac{3}{x} = 50

\frac{( y - 5 )}{y} - \frac{5}{4} = 0

- \frac{1}{3} + \frac{8}{3 x} = - 1

What is the answer to (21)/x =(30)/(x-3) ?
The answer to (21)/x =(30)/(x-3) is x=-7
Solve for x: (21)/x =(30)/(x-3)
The solution is x=-7