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

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

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

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

x = 2, x = - \frac{7}{5}

Decimal

x = 2, x = - 1.4

Solution steps

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

Multiply by LCM

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

Solve

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

x = 2, x = - \frac{7}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 1

Combine undefined points with solutions:

x = 2, x = - \frac{7}{5}

\frac{1}{x} + \frac{5}{x - 7} = 0

b^{- 2} = 0.25

\frac{10}{x} = \frac{5}{7}

\frac{6}{n - 1} + 1 = \frac{6}{n - 1}

5 = \frac{10 + a x}{x}

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