(1/2x)-((1/3)(x-7))=3x

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Solution for (1/2x)-((1/3)(x-7))=3x equation: 


x in (-oo:+oo)

(1/2)*x-((1/3)*(x-7)) = 3*x // - 3*x

(1/2)*x-((1/3)*(x-7))-(3*x) = 0

(-1/3)*(x-7)+(1/2)*x-3*x = 0

x/2-1/3*(x-7)-3*x = 0

(-1/3*2*(x-7))/2+x/2+(-3*2*x)/2 = 0

x-1/3*2*(x-7)-3*2*x = 0

1/3*x-6*x+14/3 = 0

14/3-17/3*x = 0

(14/3-17/3*x)/2 = 0

(14/3-17/3*x)/2 = 0 // * 2

14/3-17/3*x = 0

14/3-17/3*x = 0 // - 14/3

-17/3*x = -14/3 // : -17/3

x = -14/3/(-17/3)

x = 14/17

x = 14/17

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