What is the answer to ((2x-6))/((x-3))=14-x ?

The answer to ((2x-6))/((x-3))=14-x is x=12

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((2x-6))/((x-3))=14-x

\frac{( 2 x - 6 )}{( x - 3 )} = 14 - x

x = 12

Solution steps

\frac{( 2 x - 6 )}{( x - 3 )} = 14 - x

Simplify

\frac{2 x - 6}{x - 3} : 2

2 = 14 - x

Move

x

to the left side

2 + x = 14

Move

2

to the right side

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 12

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

\frac{5}{9 x} = 1

8 - \frac{13}{x} = 4 + \frac{3}{x}

\frac{3}{x + 2} + 1 = 0

(x + 2) \cdot (\frac{80}{x - 2}) = 80

What is the answer to ((2x-6))/((x-3))=14-x ?
The answer to ((2x-6))/((x-3))=14-x is x=12
Solve for x: ((2x-6))/((x-3))=14-x
The solution is x=12