What is the answer to (2x-3)/(x+4)=-3 ?

The answer to (2x-3)/(x+4)=-3 is x=-9/5

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(2x-3)/(x+4)=-3

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

x = - \frac{9}{5}

Decimal Notation

x = - 1.8

Solution steps

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

Multiply both sides by

x + 4

2 x - 3 = - 3 (x + 4)

Expand

- 3 (x + 4) : - 3 x - 12

2 x - 3 = - 3 x - 12

Move

3

to the right side

2 x = - 3 x - 9

Move

3 x

to the left side

5 x = - 9

Divide both sides by

5

x = - \frac{9}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{9}{5}

x, 4 y = \frac{3 x}{x + 1}

y, x = \frac{1}{y ^{2}}

\frac{Q}{R} = \frac{g}{F}

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

\frac{2}{x} = \frac{6}{5 x} + 4