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

The answer to 3x+7/(x+7)=-x/(x+7) is x=-1/3

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

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

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

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

Multiply both sides by

x + 7

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

Solve

3 x (x + 7) + 7 = - x : x = - \frac{1}{3}, x = - 7

x = - \frac{1}{3}, x = - 7

Verify Solutions

Find undefined (singularity) points:

x = - 7

Since the equation is undefined for:

- 7

x = - \frac{1}{3}

\frac{x}{x - 2} = \frac{x ^{2} - 4 x + 1}{x - 3}

\frac{4}{Y} = \frac{18}{3 Y} + 1

\frac{3}{x} + \frac{1}{2} = \frac{5}{x}

\frac{x}{x - 2} = \frac{5}{x - 2} - \frac{1}{2}

\frac{4}{3 x} + \frac{5}{4} = \frac{3}{x}

What is the answer to 3x+7/(x+7)=-x/(x+7) ?
The answer to 3x+7/(x+7)=-x/(x+7) is x=-1/3
Solve for x: 3x+7/(x+7)=-x/(x+7)
The solution is x=-1/3