What is the answer to 7/2 = 3/x-4 ?

The answer to 7/2 = 3/x-4 is x= 2/5

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7/2 = 3/x-4

\frac{7}{2} = \frac{3}{x} - 4

x = \frac{2}{5}

Decimal Notation

x = 0.4

Solution steps

\frac{7}{2} = \frac{3}{x} - 4

Multiply by LCM

7 x = 6 - 8 x

Move

8 x

to the left side

15 x = 6

Divide both sides by

15

x = \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{5}

\frac{1}{8} y^{4} = \frac{972}{y}

\frac{9}{x} = 0.7

\frac{2 x ^{2} - 18 x}{x} = 0

\frac{9}{x} - \frac{11}{x - 4} + 4 = 0

y, x = \frac{y}{y + 12}