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

The answer to x/4 =(4-x)/2 is x= 8/3

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x/4 =(4-x)/2

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

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

x \cdot 2 = 4 (4 - x)

Expand

4 (4 - x) : 16 - 4 x

x \cdot 2 = 16 - 4 x

Move

4 x

to the left side

6 x = 16

Divide both sides by

6

x = \frac{8}{3}

x - 0.6 = 5 \cdot 1 \frac{1}{3}

6 x + 30 = 12 x - 18

x + x - 6 + x - 2 x = 69

16 x = - 32

\frac{t π}{6} - \frac{11 π}{12} = 0