What is the answer to 5/(x+4)-2=(7x+18)/(x+4) ?

The answer to 5/(x+4)-2=(7x+18)/(x+4) is x=-7/3

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5/(x+4)-2=(7x+18)/(x+4)

\frac{5}{x + 4} - 2 = \frac{7 x + 18}{x + 4}

x = - \frac{7}{3}

Decimal Notation

x = - 2.33333 \dots

Solution steps

\frac{5}{x + 4} - 2 = \frac{7 x + 18}{x + 4}

Multiply both sides by

x + 4

5 - 2 (x + 4) = 7 x + 18

Expand

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

- 2 x - 3 = 7 x + 18

Move

3

to the right side

- 2 x = 7 x + 21

Move

7 x

to the left side

- 9 x = 21

Divide both sides by

- 9

x = - \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{7}{3}

x - \frac{x + 5}{x + 7} = \frac{2}{x + 7}

- \frac{1}{x ^{2}} = - \frac{1}{36}

\frac{33}{b} = \frac{15}{45}

- \frac{1}{x ^{2}} = - \frac{1}{30}

200 = \frac{4}{1 - r}

What is the answer to 5/(x+4)-2=(7x+18)/(x+4) ?
The answer to 5/(x+4)-2=(7x+18)/(x+4) is x=-7/3
Solve for x: 5/(x+4)-2=(7x+18)/(x+4)
The solution is x=-7/3