What is the answer to (2x)/(3x+5)= 3/(x+4) ?

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

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(2x)/(3x+5)= 3/(x+4)

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

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

Decimal

x = 3, x = - 2.5

Solution steps

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

Cross multiply

2 x (x + 4) = (3 x + 5) \cdot 3

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

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

a, \frac{1}{a} + \frac{1}{b} = c

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

\frac{2}{x + 2} = \frac{4}{2}

- 6 - \frac{2}{x} = - 8 x

\frac{3 x + 1}{6 x - 2} = \frac{2 x + 5}{4 x - 13}

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