What is the answer to 1/(x+3)-1= 5/(x+3) ?

The answer to 1/(x+3)-1= 5/(x+3) is x=-7

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1/(x+3)-1= 5/(x+3)

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

x = - 7

Solution steps

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

Multiply both sides by

x + 3

1 - (x + 3) = 5

Move

1

to the right side

- (x + 3) = 4

Divide both sides by

- 1

x + 3 = - 4

Move

3

to the right side

x = - 7

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - 7

\frac{4 x - 11}{x + 1} = 5 x + 7

\frac{3 x - 2}{2 x - 5} = \frac{3}{4}

x, \frac{2}{2 x - 3} = y

\frac{m}{m - 6} = \frac{12}{15}

\frac{1}{h + 6} (h + 6) = 1, h \neq = - 6

What is the answer to 1/(x+3)-1= 5/(x+3) ?
The answer to 1/(x+3)-1= 5/(x+3) is x=-7
Solve for x: 1/(x+3)-1= 5/(x+3)
The solution is x=-7