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

The answer to x/(-3x+12)=-3 is x= 9/2

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

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

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

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

Multiply both sides by

- 3 x + 12

x = - 3 (- 3 x + 12)

Expand

- 3 (- 3 x + 12) : 9 x - 36

x = 9 x - 36

Move

9 x

to the left side

- 8 x = - 36

Divide both sides by

- 8

x = \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{9}{2}

0 = 1 - \frac{1}{x ^{2}}

\frac{3 x + 7}{6 x} + \frac{1}{x} = 1

\frac{( a + 7 ) !}{( a + 6 ) !} = 15!

\frac{3}{1} = \frac{2}{h}

5 x^{- 2} - 17 x^{- 1} + 6 = 0