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

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

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

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

x = - 6

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 2) \cdot 2 : 2 x - 4

Expand

4 (x + 2) : 4 x + 8

2 x - 4 = 4 x + 8

Move

4

to the right side

2 x = 4 x + 12

Move

4 x

to the left side

- 2 x = 12

Divide both sides by

- 2

x = - 6

- 8 x + 10 = - 6 x + 6

\frac{n}{20} = 4

4 x - 7 = 41

3 x + 10 = 3 x + 15

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