What is the answer to 1/(x+7)= 4/(x+7)-2 ?

The answer to 1/(x+7)= 4/(x+7)-2 is x=-11/2

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1/(x+7)= 4/(x+7)-2

\frac{1}{x + 7} = \frac{4}{x + 7} - 2

x = - \frac{11}{2}

Decimal Notation

x = - 5.5

Solution steps

\frac{1}{x + 7} = \frac{4}{x + 7} - 2

Multiply both sides by

x + 7

1 = 4 - 2 (x + 7)

Switch sides

4 - 2 (x + 7) = 1

Move

4

to the right side

- 2 (x + 7) = - 3

Divide both sides by

- 2

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

Move

7

to the right side

x = - \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = - \frac{11}{2}

t, a = \frac{V - V _{0}}{t}

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

\frac{9}{y} + \frac{3}{y} = 2

y^{- 2} - 2 y^{- 1} + 2 = 0

\frac{( 4 x + 89.904 )}{50 + x} = 3

What is the answer to 1/(x+7)= 4/(x+7)-2 ?
The answer to 1/(x+7)= 4/(x+7)-2 is x=-11/2
Solve for x: 1/(x+7)= 4/(x+7)-2
The solution is x=-11/2