What is the answer to (11)/(x-2)= 11/2 ?

The answer to (11)/(x-2)= 11/2 is x=4

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(11)/(x-2)= 11/2

\frac{11}{x - 2} = \frac{11}{2}

x = 4

Solution steps

\frac{11}{x - 2} = \frac{11}{2}

Cross multiply

22 = (x - 2) \cdot 11

Switch sides

(x - 2) \cdot 11 = 22

Divide both sides by

11

x - 2 = 2

Move

2

to the right side

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 4

\frac{( 2 x e ^{3} + 6 )}{( x + 7 )} = x

\frac{6}{x ^{2}} - \frac{37}{x} = 13

\frac{4}{x ^{2} - 1} + 1 = \frac{x}{x + 1}

3 t + (\frac{4 t - 2}{3 t ^{3}}) = 7

\frac{x}{x + 1} - \frac{1}{x ^{2} + x} = - 3