What is the answer to 3/(x+4)-7=(-4)/(x+4) ?

The answer to 3/(x+4)-7=(-4)/(x+4) is x=-3

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3/(x+4)-7=(-4)/(x+4)

\frac{3}{x + 4} - 7 = \frac{- 4}{x + 4}

x = - 3

Solution steps

\frac{3}{x + 4} - 7 = \frac{- 4}{x + 4}

Simplify

\frac{- 4}{x + 4} : - \frac{4}{x + 4}

\frac{3}{x + 4} - 7 = - \frac{4}{x + 4}

Multiply both sides by

x + 4

3 - 7 (x + 4) = - 4

Move

3

to the right side

- 7 (x + 4) = - 7

Divide both sides by

- 7

x + 4 = 1

Move

4

to the right side

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - 3

- \frac{3}{5} = \frac{15}{x}

\frac{x - 9}{x - 5} = \frac{5}{7}

z + \frac{4}{z + 1} = 3

\frac{2}{x} = 4

\frac{7}{p} = \frac{8}{9}

What is the answer to 3/(x+4)-7=(-4)/(x+4) ?
The answer to 3/(x+4)-7=(-4)/(x+4) is x=-3
Solve for x: 3/(x+4)-7=(-4)/(x+4)
The solution is x=-3