What is the answer to (2x-1)/3 = x/2 ?

The answer to (2x-1)/3 = x/2 is x=2

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(2x-1)/3 = x/2

\frac{2 x - 1}{3} = \frac{x}{2}

x = 2

Solution steps

\frac{2 x - 1}{3} = \frac{x}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 1) \cdot 2 = 3 x

Expand

(2 x - 1) \cdot 2 : 4 x - 2

4 x - 2 = 3 x

Move

2

to the right side

4 x = 3 x + 2

Move

3 x

to the left side

x = 2

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

6 x = 3 x

1 - 2 y = 0

x - (- 750) = 1721

x, f (f^{- 1} (x)) = f^{- 1} (f)