What is the answer to (4-x)/5 =(x-4)/6 ?

The answer to (4-x)/5 =(x-4)/6 is x=4

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(4-x)/5 =(x-4)/6

\frac{4 - x}{5} = \frac{x - 4}{6}

x = 4

Solution steps

\frac{4 - x}{5} = \frac{x - 4}{6}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(4 - x) \cdot 6 = 5 (x - 4)

Expand

(4 - x) \cdot 6 : 24 - 6 x

Expand

5 (x - 4) : 5 x - 20

24 - 6 x = 5 x - 20

Move

24

to the right side

- 6 x = 5 x - 44

Move

5 x

to the left side

- 11 x = - 44

Divide both sides by

- 11

x = 4

2 x y - 4 x + 3 y - 6

3 x^{2} \cdot 2 x^{2}

2 (x - 1) + 5 x = 40

3 x^{2} - 6 x = - 3

x^{2} - 1.5 x + 0.5 = 0