2/3x-3/4(x+1)=1/6x-21/16

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Solution for 2/3x-3/4(x+1)=1/6x-21/16 equation:


x in (-oo:+oo)

(2/3)*x-((3/4)*(x+1)) = (1/6)*x-(21/16) // - (1/6)*x-(21/16)

(2/3)*x-((3/4)*(x+1))-((1/6)*x)+21/16 = 0

(-3/4)*(x+1)+(2/3)*x+(-1/6)*x+21/16 = 0

(2*x)/3-3/4*(x+1)-x/6+21/16 = 0

(-3/4*3*6*16*(x+1))/(3*6*16)+(2*6*16*x)/(3*6*16)+(3*16*(-x))/(3*6*16)+(3*6*21)/(3*6*16) = 0

2*6*16*x-3/4*3*6*16*(x+1)+3*16*(-x)+3*6*21 = 0

378-24*x-48*x-216 = 0

378-72*x-216 = 0

162-72*x = 0

(162-72*x)/(3*6*16) = 0

(162-72*x)/(3*6*16) = 0 // * 3*6*16

162-72*x = 0

162-72*x = 0 // - 162

-72*x = -162 // : -72

x = -162/(-72)

x = 9/4

x = 9/4

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