What is the answer to 8/(x-2)-(3x)/(2-x)=4 ?

The answer to 8/(x-2)-(3x)/(2-x)=4 is x=16

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8/(x-2)-(3x)/(2-x)=4

\frac{8}{x - 2} - \frac{3 x}{2 - x} = 4

x = 16

Solution steps

\frac{8}{x - 2} - \frac{3 x}{2 - x} = 4

Multiply by LCM

8 (- x + 2) - 3 x (x - 2) = 4 (x - 2) (- x + 2)

Solve

8 (- x + 2) - 3 x (x - 2) = 4 (x - 2) (- x + 2) : x = 16, x = 2

x = 16, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

x = 16

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

\frac{1}{4 ( 2 ( x - 1 ) + 10 )} = x

2 = \frac{x + 3}{x - 11}

\frac{180 ( n - 2 )}{n} = 160

d, \frac{20}{d} = - 15

What is the answer to 8/(x-2)-(3x)/(2-x)=4 ?
The answer to 8/(x-2)-(3x)/(2-x)=4 is x=16
Solve for x: 8/(x-2)-(3x)/(2-x)=4
The solution is x=16