1/7x-(x-5/6)=1/42(x-6)

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Solution for 1/7x-(x-5/6)=1/42(x-6) equation:


x in (-oo:+oo)

(1/7)*x-x+5/6 = (1/42)*(x-6) // - (1/42)*(x-6)

(1/7)*x-((1/42)*(x-6))-x+5/6 = 0

(-1/42)*(x-6)+(1/7)*x-x+5/6 = 0

x/7-1/42*(x-6)-x+5/6 = 0

(-1/42*6*7*(x-6))/(6*7)+(6*x)/(6*7)+(6*7*(-x))/(6*7)+(5*7)/(6*7) = 0

6*x-1/42*6*7*(x-6)+6*7*(-x)+5*7 = 0

5*x-42*x+6+35 = 0

6-37*x+35 = 0

41-37*x = 0

(41-37*x)/(6*7) = 0

(41-37*x)/(6*7) = 0 // * 6*7

41-37*x = 0

41-37*x = 0 // - 41

-37*x = -41 // : -37

x = -41/(-37)

x = 41/37

x = 41/37

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