(x+5)/10=4/5+(x-5)/7

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Solution for (x+5)/10=4/5+(x-5)/7 equation: 


x in (-oo:+oo)

(x+5)/10 = (x-5)/7+4/5 // - (x-5)/7+4/5

(x+5)/10-((x-5)/7)-(4/5) = 0

(x+5)/10-((x-5)/7)-4/5 = 0

(x+5)/10+(-1*(x-5))/7-4/5 = 0

(5*7*(x+5))/(5*7*10)+(-1*5*10*(x-5))/(5*7*10)+(-4*7*10)/(5*7*10) = 0

5*7*(x+5)-1*5*10*(x-5)-4*7*10 = 0

425-15*x-280 = 0

145-15*x = 0

(145-15*x)/(5*7*10) = 0

(145-15*x)/(5*7*10) = 0 // * 5*7*10

145-15*x = 0

145-15*x = 0 // - 145

-15*x = -145 // : -15

x = -145/(-15)

x = 29/3

x = 29/3

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