What is the answer to (-x)/(3-x)= 5/12 ?

The answer to (-x)/(3-x)= 5/12 is x=-15/7

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(-x)/(3-x)= 5/12

\frac{- x}{3 - x} = \frac{5}{12}

x = - \frac{15}{7}

Decimal Notation

x = - 2.14285 \dots

Solution steps

\frac{- x}{3 - x} = \frac{5}{12}

Cross multiply

- x \cdot 12 = 15 - 5 x

Move

5 x

to the left side

- 7 x = 15

Divide both sides by

- 7

x = - \frac{15}{7}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - \frac{15}{7}

\frac{x}{- 2 ( x + 3 )} = - 2 x - 6

\frac{1}{v + 6} = 4

3 = x^{- 1}

\frac{2 x ^{2} + 8 x}{3 x + 12} = - 4

2 - (y - 7)^{- 1} = 6 (y - 7)^{- 2}

What is the answer to (-x)/(3-x)= 5/12 ?
The answer to (-x)/(3-x)= 5/12 is x=-15/7
Solve for x: (-x)/(3-x)= 5/12
The solution is x=-15/7