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

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

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

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

x = - 4, x = - \frac{7}{3}

Decimal Notation

x = - 4, x = - 2.33333 \dots

Solution steps

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

Multiply by LCM

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

Solve

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

x = - 4, x = - \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{7}{2}, x = - 3

Combine undefined points with solutions:

x = - 4, x = - \frac{7}{3}

\frac{1}{x} + \frac{1}{x + 3} = \frac{3}{10}

\frac{4 x + 1}{x + 1} - 3 = \frac{12}{x ^{2} - 1}

\frac{3 x}{x + 1} = \frac{12}{x ^{2} - 1} + 2

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

\frac{x ^{3}}{x + x + x} = 12

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