Question

solve 2x/3-1/3=x/2+3/2​

Answer 1

$\huge\mathtt\purple{\:Answer}$

$\frac{2x}{3} - \frac{1}{3} = \frac{x }{2} + \frac{3}{2} \\ \frac{2x - 1}{3} = \frac{ x + 3}{2} (by \: cross \: multiplication) \\ 3 (x + 3) = 2(2x - 1) \\ 3x + 9 = 4x - 2 \\ 3x - 4x = - 2 - 9 \\ - x = - 11 \\ x = 11$

Answer 2

Answer:

x = 11/7

Step-by-step explanation:

2x/3 - 1/3 = x/2 + 3/2

(2x-1)/3 = (x+3)/2

cross multiply,

2(2x-1) = 3(x+3)

4x - 2 = 3x + 9

4x - 3x = 9 + 2

7x = 11

x = 11/7

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