What is the answer to 3/(2(4x-8))=12 ?

The answer to 3/(2(4x-8))=12 is x= 65/32

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3/(2(4x-8))=12

\frac{3}{2 ( 4 x - 8 )} = 12

x = \frac{65}{32}

Decimal Notation

x = 2.03125

Solution steps

\frac{3}{2 ( 4 x - 8 )} = 12

Multiply both sides by

2 (4 x - 8)

3 = 24 (4 x - 8)

Switch sides

24 (4 x - 8) = 3

Divide both sides by

24

4 x - 8 = \frac{1}{8}

Move

8

to the right side

4 x = \frac{65}{8}

Divide both sides by

4

x = \frac{65}{32}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{65}{32}

\frac{7}{x} = 2

\frac{32}{4 + 3 - ( 12 - x )} = 7 - (- 2 - 3)

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

\frac{40}{3 x} = 20

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