(x+a)/2-6+(a-x)/5=7a/10

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Solution for (x+a)/2-6+(a-x)/5=7a/10 equation:


x in (-oo:+oo)

(a+x)/2+(a-x)/5-6 = (7*a)/10 // - (7*a)/10

(a+x)/2+(a-x)/5-((7*a)/10)-6 = 0

(a+x)/2+(a-x)/5+(-7/10)*a-6 = 0

(a+x)/2+(a-x)/5+(-7*a)/10-6 = 0

(5*10*(a+x))/(2*5*10)+(2*10*(a-x))/(2*5*10)+(-7*2*5*a)/(2*5*10)+(-6*2*5*10)/(2*5*10) = 0

5*10*(a+x)+2*10*(a-x)-7*2*5*a-6*2*5*10 = 0

70*a-70*a+30*x-600 = 0

30*x-600 = 0

(30*x-600)/(2*5*10) = 0

(30*x-600)/(2*5*10) = 0 // * 2*5*10

30*x-600 = 0

30*x-600 = 0 // + 600

30*x = 600 // : 30

x = 600/30

x = 20

x = 20

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