What is the answer to (3x-2)/8 = x/2 ?

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

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(3x-2)/8 = x/2

\frac{3 x - 2}{8} = \frac{x}{2}

x = - 2

Solution steps

\frac{3 x - 2}{8} = \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 = 8 x

Expand

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

6 x - 4 = 8 x

Move

4

to the right side

6 x = 8 x + 4

Move

8 x

to the left side

- 2 x = 4

Divide both sides by

- 2

x = - 2

- 8 f = - 7 f - 8

\frac{1}{4} (x + 3) - 3 = \frac{1}{2} (x - 2)

10 - \frac{3 x + 5}{6} = 3 \frac{11}{12} - \frac{\frac{x}{2}}{4}

x, 6 x + 2 y = 6

4 x - 7 x + 5 = 2 - 4 (3 x + 1)