What is the answer to 2/3 =(3x-6)/(-x+3) ?

The answer to 2/3 =(3x-6)/(-x+3) is x= 24/11

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2/3 =(3x-6)/(-x+3)

\frac{2}{3} = \frac{3 x - 6}{- x + 3}

x = \frac{24}{11}

Decimal Notation

x = 2.18181 \dots

Solution steps

\frac{2}{3} = \frac{3 x - 6}{- x + 3}

Cross multiply

- 2 x + 6 = 9 x - 18

Move

6

to the right side

- 2 x = 9 x - 24

Move

9 x

to the left side

- 11 x = - 24

Divide both sides by

- 11

x = \frac{24}{11}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{24}{11}

\frac{5}{x + 2} + \frac{x}{x + 3} = 3

x, \frac{x + 1}{x - 3} = y - 4

2 x^{- 2} - 19 x^{- 1} + 42 = 0

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

\frac{7}{x - 1} = \frac{4}{x - 6}

What is the answer to 2/3 =(3x-6)/(-x+3) ?
The answer to 2/3 =(3x-6)/(-x+3) is x= 24/11
Solve for x: 2/3 =(3x-6)/(-x+3)
The solution is x= 24/11