What is the answer to (100)/(10-6x)=-104 ?

The answer to (100)/(10-6x)=-104 is x= 95/52

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(100)/(10-6x)=-104

\frac{100}{10 - 6 x} = - 104

x = \frac{95}{52}

Decimal Notation

x = 1.82692 \dots

Solution steps

\frac{100}{10 - 6 x} = - 104

Simplify

\frac{100}{10 - 6 x} : \frac{50}{5 - 3 x}

\frac{50}{5 - 3 x} = - 104

Multiply both sides by

5 - 3 x

50 = - 104 (5 - 3 x)

Switch sides

- 104 (5 - 3 x) = 50

Divide both sides by

- 104

5 - 3 x = - \frac{25}{52}

Move

5

to the right side

- 3 x = - \frac{285}{52}

Divide both sides by

- 3

x = \frac{95}{52}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{3}

Combine undefined points with solutions:

x = \frac{95}{52}

- 3 = x + \frac{12}{x}

\frac{3}{2 ( x - 1 ) ^{2}} = 3

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

9 = \frac{( 2 x ) ^{2}}{( 1 - x ) ( 1 - x )}

\frac{84}{r} = - 7

What is the answer to (100)/(10-6x)=-104 ?
The answer to (100)/(10-6x)=-104 is x= 95/52
Solve for x: (100)/(10-6x)=-104
The solution is x= 95/52