What is the answer to (x+1)/3 = 6/(x+4) ?

The answer to (x+1)/3 = 6/(x+4) is x=2,x=-7

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(x+1)/3 = 6/(x+4)

\frac{x + 1}{3} = \frac{6}{x + 4}

x = 2, x = - 7

Solution steps

\frac{x + 1}{3} = \frac{6}{x + 4}

Cross multiply

(x + 1) (x + 4) = 18

Solve

(x + 1) (x + 4) = 18 : x = 2, x = - 7

x = 2, x = - 7

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = 2, x = - 7

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

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

\frac{1}{3 x - 2} + \frac{5}{x} = 0

(x) = \frac{1}{x}

- \frac{210}{( x + 10 ) ^{2}} = 0

What is the answer to (x+1)/3 = 6/(x+4) ?
The answer to (x+1)/3 = 6/(x+4) is x=2,x=-7
Solve for x: (x+1)/3 = 6/(x+4)
The solution is x=2,x=-7