What is the answer to 5/(2x+6)=(x+1)/(x+3) ?

The answer to 5/(2x+6)=(x+1)/(x+3) is x= 3/2

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5/(2x+6)=(x+1)/(x+3)

\frac{5}{2 x + 6} = \frac{x + 1}{x + 3}

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

\frac{5}{2 x + 6} = \frac{x + 1}{x + 3}

Cross multiply

5 (x + 3) = (2 x + 6) (x + 1)

Solve

5 (x + 3) = (2 x + 6) (x + 1) : x = - 3, x = \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = - 3

Since the equation is undefined for:

- 3

x = \frac{3}{2}

r, V = \frac{12 r}{( r + r )}

f^{- 1} (- 2) = - 9 f (- 9)

3 + \frac{5}{z} = \frac{4}{3}

2 + \frac{4 x - 15}{( x - 4 ) ^{2}} = 0

B = \frac{( x ^{2} + 6 )}{( x ^{2} + 2 )}

What is the answer to 5/(2x+6)=(x+1)/(x+3) ?
The answer to 5/(2x+6)=(x+1)/(x+3) is x= 3/2
Solve for x: 5/(2x+6)=(x+1)/(x+3)
The solution is x= 3/2