What is the answer to (2(x+3))/3 =(x+8)/9 ?

The answer to (2(x+3))/3 =(x+8)/9 is x=-2

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(2(x+3))/3 =(x+8)/9

\frac{2 ( x + 3 )}{3} = \frac{x + 8}{9}

x = - 2

Solution steps

\frac{2 ( x + 3 )}{3} = \frac{x + 8}{9}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

2 (x + 3) \cdot 9 = 3 (x + 8)

Simplify

18 (x + 3) = 3 (x + 8)

Expand

18 (x + 3) : 18 x + 54

Expand

3 (x + 8) : 3 x + 24

18 x + 54 = 3 x + 24

Move

54

to the right side

18 x = 3 x - 30

Move

3 x

to the left side

15 x = - 30

Divide both sides by

15

x = - 2

x - \frac{1}{4} x - \frac{1}{3} x = 75

x^{4} - 16 = (x^{2} + 4) (x^{2} - 4)

x, g = f - 3

7 (x + 4) - 6 (x + 3) = x + 5

\frac{1}{5} (3 - 7 x) + \frac{8}{4} - (- 3 x + 5) = 3 x - \frac{x}{4} + 12

What is the answer to (2(x+3))/3 =(x+8)/9 ?
The answer to (2(x+3))/3 =(x+8)/9 is x=-2
Solve for x: (2(x+3))/3 =(x+8)/9
The solution is x=-2