What is the answer to (x-3)/2 =(x-6)/3 ?

The answer to (x-3)/2 =(x-6)/3 is x=-3

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(x-3)/2 =(x-6)/3

\frac{x - 3}{2} = \frac{x - 6}{3}

x = - 3

Solution steps

\frac{x - 3}{2} = \frac{x - 6}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 3) \cdot 3 : 3 x - 9

Expand

2 (x - 6) : 2 x - 12

3 x - 9 = 2 x - 12

Move

9

to the right side

3 x = 2 x - 3

Move

2 x

to the left side

x = - 3

y = 5 (1) + 3

7 x - 2 x + 3 = 4 x + 3 + x

- \frac{x}{4} = 8

16 - 7 d = - 3 d + 2

\frac{x}{9} - \frac{x - 18}{36} = \frac{2 x + 9}{9} - 18