What is the answer to 2/(5-x)+3/(x+7)=1 ?

The answer to 2/(5-x)+3/(x+7)=1 is x=-3,x=2

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2/(5-x)+3/(x+7)=1

\frac{2}{5 - x} + \frac{3}{x + 7} = 1

x = - 3, x = 2

Solution steps

\frac{2}{5 - x} + \frac{3}{x + 7} = 1

Multiply by LCM

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

Solve

2 (x + 7) + 3 (- x + 5) = (- x + 5) (x + 7) : x = - 3, x = 2

x = - 3, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - 7

Combine undefined points with solutions:

x = - 3, x = 2

1 - \frac{4}{x} = - 3 x

x + \frac{15}{x} = 8

y, x = \frac{1}{y + 3}

\frac{4 r - 6}{r - 7} = \frac{1}{2}

\frac{x ^{2} - 4}{x + 2} = 7 x

What is the answer to 2/(5-x)+3/(x+7)=1 ?
The answer to 2/(5-x)+3/(x+7)=1 is x=-3,x=2
Solve for x: 2/(5-x)+3/(x+7)=1
The solution is x=-3,x=2