What is the answer to (-10)/x =(9-3x)/(3-x) ?

The answer to (-10)/x =(9-3x)/(3-x) is x=-10/3

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(-10)/x =(9-3x)/(3-x)

\frac{- 10}{x} = \frac{9 - 3 x}{3 - x}

x = - \frac{10}{3}

Decimal Notation

x = - 3.33333 \dots

Solution steps

\frac{- 10}{x} = \frac{9 - 3 x}{3 - x}

Simplify

- \frac{10}{x} = 3

Multiply both sides by

x

- 10 = 3 x

Switch sides

3 x = - 10

Divide both sides by

3

x = - \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = - \frac{10}{3}

\frac{5 x}{8} = \frac{5}{2 x}

\frac{15}{x} = \frac{3}{7}

x + 3 = \frac{1}{x - 2} + 1

\frac{x}{4 x + 2} = 5

\frac{2}{x + 5} = \frac{3}{x + 4}

What is the answer to (-10)/x =(9-3x)/(3-x) ?
The answer to (-10)/x =(9-3x)/(3-x) is x=-10/3
Solve for x: (-10)/x =(9-3x)/(3-x)
The solution is x=-10/3