x-(x-4)/32x-8

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Solution for x-(x-4)/32x-8 equation:


x in (-oo:+oo)

x-((x-4)/3) < 2*x-8 // - 2*x-8

x-((x-4)/3)-(2*x)+8 < 0

x-((x-4)/3)-2*x+8 < 0

(-1*(x-4))/3+x-2*x+8 < 0

(-1*(x-4))/3+(3*x)/3+(-2*3*x)/3+(3*8)/3 < 0

3*x-1*(x-4)-2*3*x+3*8 < 0

2*x-6*x+4+24 < 0

4-4*x+24 < 0

28-4*x < 0

(28-4*x)/3 < 0

(28-4*x)/3 < 0 // * 3^2

3*(28-4*x) < 0

( 28-4*x )

28-4*x < 0 // - 28

-4*x < -28 // : -4

x > -28/(-4)

x > 7

( 3 )

3 < 0

x belongs to the empty set

(-oo:7) (7:+oo) 28-4*x + - 3 + +

x in (7:+oo)

(7:+oo)

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