What is the answer to 7/(x-2)= 8/3 ?

The answer to 7/(x-2)= 8/3 is x= 37/8

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7/(x-2)= 8/3

\frac{7}{x - 2} = \frac{8}{3}

x = \frac{37}{8}

Decimal Notation

x = 4.625

Solution steps

\frac{7}{x - 2} = \frac{8}{3}

Cross multiply

21 = (x - 2) \cdot 8

Switch sides

(x - 2) \cdot 8 = 21

Divide both sides by

8

x - 2 = \frac{21}{8}

Move

2

to the right side

x = \frac{37}{8}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{37}{8}

\frac{12 d s}{w} = C d, w

x, \frac{x - y}{x} = x + 1

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

0 = \frac{3}{x - 2}

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