What is the answer to (8x)/(3x+5)+(5x-1)/(x+1)=3 ?

The answer to (8x)/(3x+5)+(5x-1)/(x+1)=3 is x=1,x=-10/7

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(8x)/(3x+5)+(5x-1)/(x+1)=3

\frac{8 x}{3 x + 5} + \frac{5 x - 1}{x + 1} = 3

x = 1, x = - \frac{10}{7}

Decimal

x = 1, x = - 1.42857 \dots

Solution steps

\frac{8 x}{3 x + 5} + \frac{5 x - 1}{x + 1} = 3

Multiply by LCM

8 x (x + 1) + (5 x - 1) (3 x + 5) = 3 (x + 1) (3 x + 5)

Solve

8 x (x + 1) + (5 x - 1) (3 x + 5) = 3 (x + 1) (3 x + 5) : x = 1, x = - \frac{10}{7}

x = 1, x = - \frac{10}{7}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{3}, x = - 1

Combine undefined points with solutions:

x = 1, x = - \frac{10}{7}

a, \frac{1}{a} + \frac{1}{b} = \frac{1}{a + b}

M, t = \frac{b}{4 - M ^{3}}

- 4 x + \frac{4}{x} = 0

\frac{2 x + 3}{2} - \frac{3 x}{x - 4} = x

x + \frac{x}{x - 2} = 0

What is the answer to (8x)/(3x+5)+(5x-1)/(x+1)=3 ?
The answer to (8x)/(3x+5)+(5x-1)/(x+1)=3 is x=1,x=-10/7
Solve for x: (8x)/(3x+5)+(5x-1)/(x+1)=3
The solution is x=1,x=-10/7