What is the answer to (5x+4)/(x+2)=(8+4x)/(x-3) ?

The answer to (5x+4)/(x+2)=(8+4x)/(x-3) is x=28,x=-1

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(5x+4)/(x+2)=(8+4x)/(x-3)

\frac{5 x + 4}{x + 2} = \frac{8 + 4 x}{x - 3}

x = 28, x = - 1

Solution steps

\frac{5 x + 4}{x + 2} = \frac{8 + 4 x}{x - 3}

Cross multiply

(5 x + 4) (x - 3) = (x + 2) (8 + 4 x)

Solve

(5 x + 4) (x - 3) = (x + 2) (8 + 4 x) : x = 28, x = - 1

x = 28, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 3

Combine undefined points with solutions:

x = 28, x = - 1

\frac{x ^{2}}{16} = 1 + \frac{\frac{3}{4 x}}{9}

y, - \frac{y}{x} = - 1

\frac{6}{x} = x - 5

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

\frac{a}{9 a - 2} = \frac{1}{8}

What is the answer to (5x+4)/(x+2)=(8+4x)/(x-3) ?
The answer to (5x+4)/(x+2)=(8+4x)/(x-3) is x=28,x=-1
Solve for x: (5x+4)/(x+2)=(8+4x)/(x-3)
The solution is x=28,x=-1