What is the answer to (x-5)/5 =(x-8)/2 ?

The answer to (x-5)/5 =(x-8)/2 is x=10

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(x-5)/5 =(x-8)/2

\frac{x - 5}{5} = \frac{x - 8}{2}

x = 10

Solution steps

\frac{x - 5}{5} = \frac{x - 8}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 5) \cdot 2 = 5 (x - 8)

Expand

(x - 5) \cdot 2 : 2 x - 10

Expand

5 (x - 8) : 5 x - 40

2 x - 10 = 5 x - 40

Move

10

to the right side

2 x = 5 x - 30

Move

5 x

to the left side

- 3 x = - 30

Divide both sides by

- 3

x = 10

x, 11 x - 4 y = 32

x, 5 x - 3 y = - 15

x, - 2 x + 6 y = 18

y = 4

\frac{1}{2} (z - 1) - (z - 3) = \frac{1}{3} (z + 3) + \frac{1}{2}