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

The answer to (x-3)/3 =(x-8)/8 is x=0

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

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

x = 0

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 3) \cdot 8 = 3 (x - 8)

Expand

(x - 3) \cdot 8 : 8 x - 24

Expand

3 (x - 8) : 3 x - 24

8 x - 24 = 3 x - 24

Move

24

to the right side

8 x = 3 x

Move

3 x

to the left side

5 x = 0

Divide both sides by

5

x = 0

2 (x - 6) + 8 x = 3 (2 x + 4)

\frac{4}{3} x - 2 (9 - \frac{1}{3} x) = - \frac{7}{3} x + 9

\frac{3}{4} x + 11 = 44

x, 6 x + y = 5

10 (x + 4) - 3 = 14 x + 1