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

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

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

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

x = - 2

Solution steps

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

Multiply both sides by

x + 4

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

Expand

3 (x + 4) - 2 : 3 x + 10

3 x + 10 = - 2 x

Move

10

to the right side

3 x = - 2 x - 10

Move

2 x

to the left side

5 x = - 10

Divide both sides by

5

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - 2

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

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

\frac{2}{( x + 1 ) ^{2}} = 0

y, x = \frac{2 + y}{2 - y}

y, \frac{5}{x} - \frac{1}{y} = 4

What is the answer to 3-2/(x+4)=-(2x)/(x+4) ?
The answer to 3-2/(x+4)=-(2x)/(x+4) is x=-2
Solve for x: 3-2/(x+4)=-(2x)/(x+4)
The solution is x=-2