What is the answer to (x-3)/4 = x/2 ?

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

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(x-3)/4 = x/2

\frac{x - 3}{4} = \frac{x}{2}

x = - 3

Solution steps

\frac{x - 3}{4} = \frac{x}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 3) \cdot 2 = 4 x

Expand

(x - 3) \cdot 2 : 2 x - 6

2 x - 6 = 4 x

Move

6

to the right side

2 x = 4 x + 6

Move

4 x

to the left side

- 2 x = 6

Divide both sides by

- 2

x = - 3

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

- 4.65 = 3.5 x - 0.1

\frac{n}{9} = - 2

6 (n - 11) = 12 + 4 (2 n - 3)

x, 120 - 2 x - y = 0