What is the answer to (x-5)/3 =(x+9)/5 ?

The answer to (x-5)/3 =(x+9)/5 is x=26

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(x-5)/3 =(x+9)/5

\frac{x - 5}{3} = \frac{x + 9}{5}

x = 26

Solution steps

\frac{x - 5}{3} = \frac{x + 9}{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 + 9)

Expand

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

Expand

3 (x + 9) : 3 x + 27

5 x - 25 = 3 x + 27

Move

25

to the right side

5 x = 3 x + 52

Move

3 x

to the left side

2 x = 52

Divide both sides by

2

x = 26

30 + 50 e - 0.2 x = 40

x, 5 x - 3 y = - 30

- x = \frac{3}{2} + \frac{3}{5} (- x - 1) + 5 x

x, a x + 3 b = 2 f

x, x + \frac{y}{3} - 3 x + \frac{y}{8} = \frac{1}{6}