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

The answer to (3-x)/((x-4))= 4/((4-x)) is x=7

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

\frac{3 - x}{( x - 4 )} = \frac{4}{( 4 - x )}

x = 7

Solution steps

\frac{3 - x}{( x - 4 )} = \frac{4}{( 4 - x )}

Cross multiply

(3 - x) (4 - x) = (x - 4) \cdot 4

Solve

(3 - x) (4 - x) = (x - 4) \cdot 4 : x = 7, x = 4

x = 7, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 4

Since the equation is undefined for:

4

x = 7

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

\frac{- 5}{7 \cdot x - 2} = 0

x + 3 = x (\frac{3}{x}) - 5 x

\frac{1}{( ( x - 1 ) ( x - 2 ) )} + \frac{1}{( ( x - 2 ) ( x - 3 ) )} = \frac{2}{3}

(\frac{x + 1}{x})^{2} = 5

What is the answer to (3-x)/((x-4))= 4/((4-x)) ?
The answer to (3-x)/((x-4))= 4/((4-x)) is x=7
Solve for x: (3-x)/((x-4))= 4/((4-x))
The solution is x=7