What is the answer to (x-3)/3 =(x-5)/5 ?

The answer to (x-3)/3 =(x-5)/5 is x=0

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(x-3)/3 =(x-5)/5

\frac{x - 3}{3} = \frac{x - 5}{5}

x = 0

Solution steps

\frac{x - 3}{3} = \frac{x - 5}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 3) \cdot 5 = 3 (x - 5)

Expand

(x - 3) \cdot 5 : 5 x - 15

Expand

3 (x - 5) : 3 x - 15

5 x - 15 = 3 x - 15

Move

15

to the right side

5 x = 3 x

Move

3 x

to the left side

2 x = 0

Divide both sides by

2

x = 0

(11 b^{2} - 4 b + 7) - (b^{2} + 8 b - 9)

8 b^{2} - 10 b + 3 = 0

- 1 - 2 x > - 1

(x - 1)^{2}

20 \geq 2 c + 4