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

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

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

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Cross multiply

5 x - 10 = 3 x - 9

Move

10

to the right side

5 x = 3 x + 1

Move

3 x

to the left side

2 x = 1

Divide both sides by

2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{1}{2}

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

7998 = \frac{20}{v}

- 6 = \frac{9}{x}

\frac{x}{x + 11} = \frac{18}{45}

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

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