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

The answer to ((x-5))/3 =((x-3))/5 is x=8

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

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

x = 8

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 5) \cdot 5 : 5 x - 25

Expand

3 (x - 3) : 3 x - 9

5 x - 25 = 3 x - 9

Move

25

to the right side

5 x = 3 x + 16

Move

3 x

to the left side

2 x = 16

Divide both sides by

2

x = 8

m (2 m - x) = 3 (x + 6)

2 x + 2 = 3 x - 4 - 32

0.4 (x + 6) = \frac{x}{3 + 1}

x, 0.5 x - y = 7

4 x - (3 + 2 i) = (5 + 10 i)

What is the answer to ((x-5))/3 =((x-3))/5 ?
The answer to ((x-5))/3 =((x-3))/5 is x=8
Solve for x: ((x-5))/3 =((x-3))/5
The solution is x=8