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

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

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(3x-2)/4 = x/2

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

x = 2

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 x - 2) \cdot 2 : 6 x - 4

6 x - 4 = 4 x

Move

4

to the right side

6 x = 4 x + 4

Move

4 x

to the left side

2 x = 4

Divide both sides by

2

x = 2

0.5 t - 3 t + 5 = 0

\frac{x}{6} + \frac{3 x}{4} = 11

x + 9 = 23

7 + 7 m - 3 = 2 m - 1

x, 3 x + 3 y = 12