What is the answer to 3/(2(x-2)-5)=19 ?

The answer to 3/(2(x-2)-5)=19 is x= 87/19

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3/(2(x-2)-5)=19

\frac{3}{2 ( x - 2 ) - 5} = 19

x = \frac{87}{19}

Decimal Notation

x = 4.57894 \dots

Solution steps

\frac{3}{2 ( x - 2 ) - 5} = 19

Simplify

\frac{3}{2 ( x - 2 ) - 5} : \frac{3}{2 x - 9}

\frac{3}{2 x - 9} = 19

Multiply both sides by

2 x - 9

3 = 19 (2 x - 9)

Switch sides

19 (2 x - 9) = 3

Divide both sides by

19

2 x - 9 = \frac{3}{19}

Move

9

to the right side

2 x = \frac{174}{19}

Divide both sides by

2

x = \frac{87}{19}

Verify Solutions

Find undefined (singularity) points:

x = \frac{9}{2}

Combine undefined points with solutions:

x = \frac{87}{19}

\frac{25}{p - 16} = \frac{9}{p}

10 + (\frac{1}{x} - 2) = 20

4 = \frac{9.6}{x}

\frac{40}{x - 2} - \frac{40}{x} = 1

99.99 (\frac{x}{10 + x}) = 0.825

What is the answer to 3/(2(x-2)-5)=19 ?
The answer to 3/(2(x-2)-5)=19 is x= 87/19
Solve for x: 3/(2(x-2)-5)=19
The solution is x= 87/19