1/2x-1/3(x-5)=3x

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


x in (-oo:+oo)

(1/2)*x-((1/3)*(x-5)) = 3*x // - 3*x

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

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

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

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

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

1/3*x-6*x+10/3 = 0

10/3-17/3*x = 0

(10/3-17/3*x)/2 = 0

(10/3-17/3*x)/2 = 0 // * 2

10/3-17/3*x = 0

10/3-17/3*x = 0 // - 10/3

-17/3*x = -10/3 // : -17/3

x = -10/3/(-17/3)

x = 10/17

x = 10/17

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