What is the answer to 4/x =(29)/(8x+3) ?

The answer to 4/x =(29)/(8x+3) is x=-4

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4/x =(29)/(8x+3)

\frac{4}{x} = \frac{29}{8 x + 3}

x = - 4

Solution steps

\frac{4}{x} = \frac{29}{8 x + 3}

Cross multiply

32 x + 12 = x \cdot 29

Move

12

to the right side

32 x = x \cdot 29 - 12

Move

x 29

to the left side

3 x = - 12

Divide both sides by

3

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - \frac{3}{8}

Combine undefined points with solutions:

x = - 4

\frac{3}{4 x ^{2}} = 12

0.4 = \frac{0.2}{\frac{x - 2}{2}}

- \frac{5}{4 x} + \frac{5}{32 x} = 35

2 x - \frac{2 + 3 x}{4} = \frac{2}{x}

1 0^{- 9.89} = \frac{x ^{2}}{0.1 - x}