What is the answer to (x-8)/5 =(x+4)/9 ?

The answer to (x-8)/5 =(x+4)/9 is x=23

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(x-8)/5 =(x+4)/9

\frac{x - 8}{5} = \frac{x + 4}{9}

x = 23

Solution steps

\frac{x - 8}{5} = \frac{x + 4}{9}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 8) \cdot 9 = 5 (x + 4)

Expand

(x - 8) \cdot 9 : 9 x - 72

Expand

5 (x + 4) : 5 x + 20

9 x - 72 = 5 x + 20

Move

72

to the right side

9 x = 5 x + 92

Move

5 x

to the left side

4 x = 92

Divide both sides by

4

x = 23

2 < \frac{1}{3} - 2 x < 5

300 x^{2} + 9 x - (0.35 \cdot 9) = 0

- \frac{x}{3} = 9

3^{5} \cdot 3^{3}