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

The answer to (x+5)/x = 7/3 is x= 15/4

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(x+5)/x = 7/3

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

x = \frac{15}{4}

Decimal Notation

x = 3.75

Solution steps

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

Cross multiply

3 x + 15 = x \cdot 7

Move

15

to the right side

3 x = x \cdot 7 - 15

Move

x 7

to the left side

- 4 x = - 15

Divide both sides by

- 4

x = \frac{15}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{15}{4}

(a + \frac{1}{a})^{2} = 3

\frac{( x ^{4} - 1 )}{( x ^{3} )} = 0

\frac{( N + 1 ) !}{( N - 1 ) !} = 56

\frac{9}{1} = \frac{100}{x}

305 = \frac{1}{x ( 175 )}