What is the answer to (x-8)/2 =(x+2)/4 ?

The answer to (x-8)/2 =(x+2)/4 is x=18

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(x-8)/2 =(x+2)/4

\frac{x - 8}{2} = \frac{x + 2}{4}

x = 18

Solution steps

\frac{x - 8}{2} = \frac{x + 2}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 8) \cdot 4 = 2 (x + 2)

Expand

(x - 8) \cdot 4 : 4 x - 32

Expand

2 (x + 2) : 2 x + 4

4 x - 32 = 2 x + 4

Move

32

to the right side

4 x = 2 x + 36

Move

2 x

to the left side

2 x = 36

Divide both sides by

2

x = 18

2 (x + 6) + 4 (6) = 3 (3 x - 5) + 2 x (6) - 1 (6)

x + 10 = - 14

lo g_{7} (\frac{1}{7}) = - 1

4 (z - 3) = 8

x, f (x - 1) = x - 2