What is the answer to x/(5/6 x-8)=-7 ?

The answer to x/(5/6 x-8)=-7 is x= 336/41

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x/(5/6 x-8)=-7

\frac{x}{\frac{5}{6} x - 8} = - 7

x = \frac{336}{41}

Decimal Notation

x = 8.19512 \dots

Solution steps

\frac{x}{\frac{5}{6} x - 8} = - 7

Simplify

\frac{x}{\frac{5}{6} x - 8} : \frac{6 x}{5 x - 48}

\frac{6 x}{5 x - 48} = - 7

Multiply both sides by

5 x - 48

6 x = - 7 (5 x - 48)

Expand

- 7 (5 x - 48) : - 35 x + 336

6 x = - 35 x + 336

Move

35 x

to the left side

41 x = 336

Divide both sides by

41

x = \frac{336}{41}

Verify Solutions

Find undefined (singularity) points:

x = \frac{48}{5}

Combine undefined points with solutions:

x = \frac{336}{41}

\frac{( y - 2 )}{y + 2} = e^{4}

- 6 + \frac{8}{x ^{2}} = x - 6

1 - \frac{8}{m - 5} = \frac{3}{m}

\frac{5}{x} = \frac{5}{x ^{2}}

\frac{3}{6} = \frac{7}{w}

What is the answer to x/(5/6 x-8)=-7 ?
The answer to x/(5/6 x-8)=-7 is x= 336/41
Solve for x: x/(5/6 x-8)=-7
The solution is x= 336/41