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

The answer to 7/(x-3)=2 is x= 13/2

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7/(x-3)=2

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

x = \frac{13}{2}

Decimal Notation

x = 6.5

Solution steps

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

Multiply both sides by

x - 3

7 = 2 (x - 3)

Switch sides

2 (x - 3) = 7

Divide both sides by

2

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

Move

3

to the right side

x = \frac{13}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{13}{2}

\frac{1}{3 x - 4} + \frac{1}{5 x + 9} = 6

\frac{4}{2 x + 1} - \frac{1}{3 x - 1} = 5

\frac{16}{9} = \frac{A ^{2} - 9}{A ^{2} - 16}

\frac{12}{7} = \frac{60}{x}

x, \frac{2}{5} = \frac{16}{x}