What is the answer to (x+5)/(x+3)=2 ?

The answer to (x+5)/(x+3)=2 is x=-1

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(x+5)/(x+3)=2

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

x = - 1

Solution steps

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

Multiply both sides by

x + 3

x + 5 = 2 (x + 3)

Expand

2 (x + 3) : 2 x + 6

x + 5 = 2 x + 6

Move

5

to the right side

x = 2 x + 1

Move

2 x

to the left side

- x = 1

Divide both sides by

- 1

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - 1

\frac{15}{4 x - 3} = 7

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

200 = \frac{40 + 20 x}{1 + 0.05 x}

\frac{44}{x} = 4

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