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

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

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2/3 = 7/x-4

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Multiply by LCM

2 x = 21 - 12 x

Move

12 x

to the left side

14 x = 21

Divide both sides by

14

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{2}

x, y = \frac{x - 3}{x + 2}

\frac{6 ( r ^{3} - 1 )}{r} = - 14 (r - 1)

\frac{12 + 6 x}{2 x} = \frac{3}{3}

(\frac{- 4 x - 4}{x ^{2} + 2 x + 5}) = 0

\frac{2}{x} - \frac{14}{x + 24} = 1