What is the answer to (x-6)/4 =(x-2)/2 ?

The answer to (x-6)/4 =(x-2)/2 is x=-2

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(x-6)/4 =(x-2)/2

\frac{x - 6}{4} = \frac{x - 2}{2}

x = - 2

Solution steps

\frac{x - 6}{4} = \frac{x - 2}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 6) \cdot 2 = 4 (x - 2)

Expand

(x - 6) \cdot 2 : 2 x - 12

Expand

4 (x - 2) : 4 x - 8

2 x - 12 = 4 x - 8

Move

12

to the right side

2 x = 4 x + 4

Move

4 x

to the left side

- 2 x = 4

Divide both sides by

- 2

x = - 2

x^{2} + 28 = 16 x

7 n^{2} - 6 n - 1 = 0

5 x^{2} + 7 x = x^{2} + 2

5 x^{2} = 1

10 x^{2} + 31 x + 15