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

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

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

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

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

Decimal Notation

x = 0.8, x = 3

Solution steps

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

Multiply by LCM

12 (x - 2) + 2 x (x + 1) = 12 x (x - 2)

Solve

12 (x - 2) + 2 x (x + 1) = 12 x (x - 2) : x = \frac{4}{5}, x = 3

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

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

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

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

6 = \frac{78}{w}

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

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

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