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

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

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x/4 =(x+2)/2

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

x = - 4

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

x \cdot 2 = 4 (x + 2)

Expand

4 (x + 2) : 4 x + 8

x \cdot 2 = 4 x + 8

Move

4 x

to the left side

- 2 x = 8

Divide both sides by

- 2

x = - 4

\frac{1}{2} x = 14

\frac{2}{6} x + \frac{1}{3} x = \frac{7}{3} - \frac{2}{5}

(\frac{1}{3}) x = - 15

\frac{3}{4} (12 x - 8) + 3 = 10 - \frac{1}{2} (6 x + 2)

4 + 2 x = 8