What is the answer to (5x-8)/(x-1)=(7x-4)/(x+2) ?

The answer to (5x-8)/(x-1)=(7x-4)/(x+2) is x= 5/2 ,x=4

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(5x-8)/(x-1)=(7x-4)/(x+2)

\frac{5 x - 8}{x - 1} = \frac{7 x - 4}{x + 2}

x = \frac{5}{2}, x = 4

Decimal Notation

x = 2.5, x = 4

Solution steps

\frac{5 x - 8}{x - 1} = \frac{7 x - 4}{x + 2}

Cross multiply

(5 x - 8) (x + 2) = (x - 1) (7 x - 4)

Solve

(5 x - 8) (x + 2) = (x - 1) (7 x - 4) : x = \frac{5}{2}, x = 4

x = \frac{5}{2}, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 2

Combine undefined points with solutions:

x = \frac{5}{2}, x = 4

x - \frac{4 x + 8}{16 x} = \frac{1}{4 x}

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

\frac{4}{x + 1} - \frac{x}{x + 1} = 2

\frac{x}{x + 2} + \frac{6}{x + 4} = 1

\frac{6 x - 1}{x ^{2} + 7} = 1

What is the answer to (5x-8)/(x-1)=(7x-4)/(x+2) ?
The answer to (5x-8)/(x-1)=(7x-4)/(x+2) is x= 5/2 ,x=4
Solve for x: (5x-8)/(x-1)=(7x-4)/(x+2)
The solution is x= 5/2 ,x=4