What is the answer to 1/(3(2w-7))=4 ?

The answer to 1/(3(2w-7))=4 is w= 85/24

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1/(3(2w-7))=4

\frac{1}{3 ( 2 w - 7 )} = 4

w = \frac{85}{24}

Decimal Notation

w = 3.54166 \dots

Solution steps

\frac{1}{3 ( 2 w - 7 )} = 4

Multiply both sides by

3 (2 w - 7)

1 = 12 (2 w - 7)

Switch sides

12 (2 w - 7) = 1

Divide both sides by

12

2 w - 7 = \frac{1}{12}

Move

7

to the right side

2 w = \frac{85}{12}

Divide both sides by

2

w = \frac{85}{24}

Verify Solutions

Find undefined (singularity) points:

w = \frac{7}{2}

Combine undefined points with solutions:

w = \frac{85}{24}

x + 6 - \frac{1}{x} = 8

4 + \frac{8}{x} = x + 6

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

\frac{7}{7 b + 3} = \frac{2}{b - 3}

\frac{1}{x ^{3} + 1} = 0