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

The answer to (x-4)/2 =(x+2)/4 is x=10

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

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

x = 10

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 4) \cdot 4 : 4 x - 16

Expand

2 (x + 2) : 2 x + 4

4 x - 16 = 2 x + 4

Move

16

to the right side

4 x = 2 x + 20

Move

2 x

to the left side

2 x = 20

Divide both sides by

2

x = 10

A, 6 = - G + \frac{1}{5} r A

1 - \frac{5}{7} n = 11

F, F + ba = g a

x, 2 x + \frac{3}{y} = 7

7 x - 10 = 4 x - 44 x - 4