What is the answer to 4/(3x+1)= x/(2x+10) ?

The answer to 4/(3x+1)= x/(2x+10) is x=5,x=-8/3

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4/(3x+1)= x/(2x+10)

\frac{4}{3 x + 1} = \frac{x}{2 x + 10}

x = 5, x = - \frac{8}{3}

Decimal Notation

x = 5, x = - 2.66666 \dots

Solution steps

\frac{4}{3 x + 1} = \frac{x}{2 x + 10}

Cross multiply

4 (2 x + 10) = (3 x + 1) x

Solve

4 (2 x + 10) = (3 x + 1) x : x = 5, x = - \frac{8}{3}

x = 5, x = - \frac{8}{3}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 5, x = - \frac{8}{3}

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

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

\frac{x - 6}{4 x} + 1 = \frac{x + 4}{x}

\frac{9}{y} = \frac{3}{7}

x = \frac{x + \frac{a}{x}}{2}

What is the answer to 4/(3x+1)= x/(2x+10) ?
The answer to 4/(3x+1)= x/(2x+10) is x=5,x=-8/3
Solve for x: 4/(3x+1)= x/(2x+10)
The solution is x=5,x=-8/3