What is the answer to 14=(7x)/(9+4x) ?

The answer to 14=(7x)/(9+4x) is x=-18/7

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14=(7x)/(9+4x)

14 = \frac{7 x}{9 + 4 x}

x = - \frac{18}{7}

Decimal Notation

x = - 2.57142 \dots

Solution steps

14 = \frac{7 x}{9 + 4 x}

Multiply both sides by

9 + 4 x

14 (9 + 4 x) = 7 x

Expand

14 (9 + 4 x) : 126 + 56 x

126 + 56 x = 7 x

Move

126

to the right side

56 x = 7 x - 126

Move

7 x

to the left side

49 x = - 126

Divide both sides by

49

x = - \frac{18}{7}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{9}{4}

Combine undefined points with solutions:

x = - \frac{18}{7}

\frac{5 x}{x - 2} = 7 + \frac{10}{x - 2}

\frac{x + 2}{x + 8} = \frac{1}{x + 2}

\frac{2 x ^{2} - 5}{x + 1} = x - 1

\frac{x ^{2} + 9}{3 x ^{2}} = \frac{13}{12}

x = \frac{6}{2 x + 1}