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

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

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(x+1)/3 = x/2

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

x = 2

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 1) \cdot 2 = 3 x

Expand

(x + 1) \cdot 2 : 2 x + 2

2 x + 2 = 3 x

Move

2

to the right side

2 x = 3 x - 2

Move

3 x

to the left side

- x = - 2

Divide both sides by

- 1

x = 2

\frac{6 !}{( 6 - 2 ) ! 2 !}

- 4 x \leq 8

\frac{8}{( 2 - \frac{1 + \frac{1}{3}}{\frac{2}{6}} )}

\frac{3}{2} - \frac{5}{2}

5 x^{2} - 46 x + 9