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

The answer to (x+2)/(4-x)+2= 2/3 is x=22

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

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

x = 22

Solution steps

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

Multiply by LCM

- 3 x + 30 = - 2 x + 8

Move

30

to the right side

- 3 x = - 2 x - 22

Move

2 x

to the left side

- x = - 22

Divide both sides by

- 1

x = 22

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 22

\frac{40}{q} = 10

\frac{t ^{2} + 2 t + 1}{t + 1} = 4

x^{- 3} = 27

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

t, P = \frac{w}{t}

What is the answer to (x+2)/(4-x)+2= 2/3 ?
The answer to (x+2)/(4-x)+2= 2/3 is x=22
Solve for x: (x+2)/(4-x)+2= 2/3
The solution is x=22