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

The answer to x/(2x+2)-(x+3)/(x+7)=1 is x=-4,x=-5/3

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

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

x = - 4, x = - \frac{5}{3}

Decimal Notation

x = - 4, x = - 1.66666 \dots

Solution steps

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

Multiply by LCM

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

Solve

x (x + 7) - 2 (x + 3) (x + 1) = 2 (x + 1) (x + 7) : x = - 4, x = - \frac{5}{3}

x = - 4, x = - \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = - 7

Combine undefined points with solutions:

x = - 4, x = - \frac{5}{3}

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

\frac{650}{x} - \frac{650}{x + 5} = 6.5

\frac{64}{8 + u} = 30

- 12 x^{- 13} + 13 x^{- 14} = 0

\frac{45}{x} = 235

What is the answer to x/(2x+2)-(x+3)/(x+7)=1 ?
The answer to x/(2x+2)-(x+3)/(x+7)=1 is x=-4,x=-5/3
Solve for x: x/(2x+2)-(x+3)/(x+7)=1
The solution is x=-4,x=-5/3