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

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

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

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

x = - 3

Solution steps

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

Multiply both sides by

x + 4

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

Expand

2 (x + 4) - 3 : 2 x + 5

2 x + 5 = x + 2

Move

5

to the right side

2 x = x - 3

Move

x

to the left side

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - 3

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

\frac{x + 7}{3 x} = 2

y, x = \frac{z}{w - y}

\frac{1}{x + 3} + \frac{6}{x ^{2} - 9} = 1

\frac{16}{x + 3} = - \frac{8}{11}

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