What is the answer to 3/(8x+(-17))=10 ?

The answer to 3/(8x+(-17))=10 is x= 173/80

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3/(8x+(-17))=10

\frac{3}{8 x + ( - 17 )} = 10

x = \frac{173}{80}

Decimal Notation

x = 2.1625

Solution steps

\frac{3}{8 x + ( - 17 )} = 10

Simplify

\frac{3}{8 x + ( - 17 )} : \frac{3}{8 x - 17}

\frac{3}{8 x - 17} = 10

Multiply both sides by

8 x - 17

3 = 10 (8 x - 17)

Switch sides

10 (8 x - 17) = 3

Divide both sides by

10

8 x - 17 = \frac{3}{10}

Move

17

to the right side

8 x = \frac{173}{10}

Divide both sides by

8

x = \frac{173}{80}

Verify Solutions

Find undefined (singularity) points:

x = \frac{17}{8}

Combine undefined points with solutions:

x = \frac{173}{80}

2 = x^{- 2}

\frac{x}{7 x + 24} = \frac{- 2}{x}

- \frac{4}{9} = \frac{12}{r}

\frac{1}{12} = \frac{x}{13 x}

x + 3 + \frac{1}{x + 3} = 5

What is the answer to 3/(8x+(-17))=10 ?
The answer to 3/(8x+(-17))=10 is x= 173/80
Solve for x: 3/(8x+(-17))=10
The solution is x= 173/80