What is the answer to 4/(n+5)= 7/8 ?

The answer to 4/(n+5)= 7/8 is n=-3/7

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4/(n+5)= 7/8

\frac{4}{n + 5} = \frac{7}{8}

n = - \frac{3}{7}

Decimal Notation

n = - 0.42857 \dots

Solution steps

\frac{4}{n + 5} = \frac{7}{8}

Cross multiply

32 = (n + 5) \cdot 7

Switch sides

(n + 5) \cdot 7 = 32

Divide both sides by

7

n + 5 = \frac{32}{7}

Move

5

to the right side

n = - \frac{3}{7}

Verify Solutions

Find undefined (singularity) points:

n = - 5

Combine undefined points with solutions:

n = - \frac{3}{7}

\frac{7.4}{x} = 1.43

a, g c = \frac{a + b}{a}

\frac{x}{x + 7} = \frac{3}{4}

\frac{9}{x} = \frac{12}{16}

x + \frac{2 x}{x - 9} = 2