1/5x-1/2=1/2(4x-5)-3/4

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Solution for 1/5x-1/2=1/2(4x-5)-3/4 equation:


x in (-oo:+oo)

(1/5)*x-(1/2) = (1/2)*(4*x-5)-(3/4) // - (1/2)*(4*x-5)-(3/4)

(1/5)*x-((1/2)*(4*x-5))-(1/2)+3/4 = 0

(-1/2)*(4*x-5)+(1/5)*x-1/2+3/4 = 0

x/5-1/2*(4*x-5)-1/2+3/4 = 0

(-1/2*2*4*5*(4*x-5))/(2*4*5)+(2*4*x)/(2*4*5)+(-1*4*5)/(2*4*5)+(2*3*5)/(2*4*5) = 0

2*4*x-1/2*2*4*5*(4*x-5)-1*4*5+2*3*5 = 0

30-72*x-20+100 = 0

30-72*x+80 = 0

110-72*x = 0

(110-72*x)/(2*4*5) = 0

(110-72*x)/(2*4*5) = 0 // * 2*4*5

110-72*x = 0

110-72*x = 0 // - 110

-72*x = -110 // : -72

x = -110/(-72)

x = 55/36

x = 55/36

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