What is the answer to (5x)/(x-4)=(3x)/(2x+7) ?

The answer to (5x)/(x-4)=(3x)/(2x+7) is x=0,x=-47/7

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(5x)/(x-4)=(3x)/(2x+7)

\frac{5 x}{x - 4} = \frac{3 x}{2 x + 7}

x = 0, x = - \frac{47}{7}

Decimal Notation

x = 0, x = - 6.71428 \dots

Solution steps

\frac{5 x}{x - 4} = \frac{3 x}{2 x + 7}

Cross multiply

5 x (2 x + 7) = (x - 4) \cdot 3 x

Solve

5 x (2 x + 7) = (x - 4) \cdot 3 x : x = 0, x = - \frac{47}{7}

x = 0, x = - \frac{47}{7}

Verify Solutions

Find undefined (singularity) points:

x = 4, x = - \frac{7}{2}

Combine undefined points with solutions:

x = 0, x = - \frac{47}{7}

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

\frac{32 x}{( 25 - x ^{2} ) ^{2}} = 0

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

\frac{1}{x} + \frac{1}{x + 1} = \frac{7}{12}

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

What is the answer to (5x)/(x-4)=(3x)/(2x+7) ?
The answer to (5x)/(x-4)=(3x)/(2x+7) is x=0,x=-47/7
Solve for x: (5x)/(x-4)=(3x)/(2x+7)
The solution is x=0,x=-47/7