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

The answer to (x+3)/(x+2)=(5x)/(x+6) is x=-9/4 ,x=2

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

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

x = - \frac{9}{4}, x = 2

Decimal Notation

x = - 2.25, x = 2

Solution steps

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

Cross multiply

(x + 3) (x + 6) = (x + 2) \cdot 5 x

Solve

(x + 3) (x + 6) = (x + 2) \cdot 5 x : x = - \frac{9}{4}, x = 2

x = - \frac{9}{4}, x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 6

Combine undefined points with solutions:

x = - \frac{9}{4}, x = 2

V, D = \frac{m}{V}

\frac{x}{x - 9} = \frac{9}{x - 9} + 10

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

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

n, \frac{m}{n p ^{2}} = k

What is the answer to (x+3)/(x+2)=(5x)/(x+6) ?
The answer to (x+3)/(x+2)=(5x)/(x+6) is x=-9/4 ,x=2
Solve for x: (x+3)/(x+2)=(5x)/(x+6)
The solution is x=-9/4 ,x=2