Question

x/2 +5/9=2x/3 find the value of x
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Answer 1

Step-by-step explanation:

9x+10/18=2x/3

9x+10=12x

3x=-10

x=-10/3

Answer 2

$\frac{x}{2} + \frac{5}{9} = \frac{2x}{3}$

$\frac{x}{2} = \frac{2x}{3} - \frac{5}{9}$

$lcm \: of \: 3 \: and \: 9 \: is \: 9$

$\frac{x}{2} = \frac{3(2x) - 5}{9}$

$\frac{x}{2} = \frac{6x - 5}{9}$

$9(x) = 2(6x - 5) \\ 9x = 12x - 10 \\ 12x - 9x = 10 \\ 3x = 10 \\ x = \frac{10}{3}$

$x = 3.33$