What is the answer to (2x)/(x+7)= 5/(x+1) ?

The answer to (2x)/(x+7)= 5/(x+1) is x=5,x=-7/2

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(2x)/(x+7)= 5/(x+1)

\frac{2 x}{x + 7} = \frac{5}{x + 1}

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

Decimal Notation

x = 5, x = - 3.5

Solution steps

\frac{2 x}{x + 7} = \frac{5}{x + 1}

Cross multiply

2 x (x + 1) = (x + 7) \cdot 5

Solve

2 x (x + 1) = (x + 7) \cdot 5 : x = 5, x = - \frac{7}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = - 7, x = - 1

Combine undefined points with solutions:

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

\frac{5}{4 x + 3} = 0

\frac{1}{x ^{2}} + \frac{2}{x} - 3 = 0

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

x^{- 2} = 49

\frac{- 8}{y} + 2 y = - 6

What is the answer to (2x)/(x+7)= 5/(x+1) ?
The answer to (2x)/(x+7)= 5/(x+1) is x=5,x=-7/2
Solve for x: (2x)/(x+7)= 5/(x+1)
The solution is x=5,x=-7/2