What is the answer to (12)/(2x-3)=4 ?

The answer to (12)/(2x-3)=4 is x=3

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(12)/(2x-3)=4

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

x = 3

Solution steps

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

Multiply both sides by

2 x - 3

12 = 4 (2 x - 3)

Switch sides

4 (2 x - 3) = 12

Divide both sides by

4

2 x - 3 = 3

Move

3

to the right side

2 x = 6

Divide both sides by

2

x = 3

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = 3

3 (x) + 7 + \frac{24}{x} = 6 x + 7

\frac{0.9764}{1} = \frac{5}{x}

2304 x^{- 4} - 100 x^{- 2} + 1 = 0

2 - 3 x^{- 1} + x^{- 2} = 0

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