2(x+1)/3-5/9x=2-2x-1/6

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Solution for 2(x+1)/3-5/9x=2-2x-1/6 equation: 


x in (-oo:+oo)

(2*(x+1))/3-((5/9)*x) = 2-(2*x)-(1/6) // - 2-(2*x)-(1/6)

(2*(x+1))/3-((5/9)*x)+2*x+1/6-2 = 0

(2*(x+1))/3+(-5/9)*x+2*x+1/6-2 = 0

(2*(x+1))/3+(-5*x)/9+2*x+1/6-2 = 0

(2*6*9*(x+1))/(3*6*9)+(-5*3*6*x)/(3*6*9)+(2*3*6*9*x)/(3*6*9)+(1*3*9)/(3*6*9)+(-2*3*6*9)/(3*6*9) = 0

2*6*9*(x+1)-5*3*6*x+2*3*6*9*x+1*3*9-2*3*6*9 = 0

18*x+324*x-324+27+108 = 0

342*x-324+27+108 = 0

342*x-324+135 = 0

342*x-189 = 0

(342*x-189)/(3*6*9) = 0

(342*x-189)/(3*6*9) = 0 // * 3*6*9

342*x-189 = 0

342*x-189 = 0 // + 189

342*x = 189 // : 342

x = 189/342

x = 21/38

x = 21/38

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