What is the answer to 9/(2x)= 7/(2x)+2 ?

The answer to 9/(2x)= 7/(2x)+2 is x= 1/2

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9/(2x)= 7/(2x)+2

\frac{9}{2 x} = \frac{7}{2 x} + 2

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

\frac{9}{2 x} = \frac{7}{2 x} + 2

Multiply both sides by

2 x

9 = 7 + 4 x

Switch sides

7 + 4 x = 9

Move

7

to the right side

4 x = 2

Divide both sides by

4

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}

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

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

\frac{4 x}{x - 3} = 2 + \frac{12}{x - 3}

\frac{3}{x ^{2} - 7 x + 10} + 2 = \frac{x - 4}{x - 5}

\frac{4}{x - 3} - \frac{5}{x - 2} = 0

What is the answer to 9/(2x)= 7/(2x)+2 ?
The answer to 9/(2x)= 7/(2x)+2 is x= 1/2
Solve for x: 9/(2x)= 7/(2x)+2
The solution is x= 1/2