abs((8x-7)/8)=6

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Solution for abs((8x-7)/8)=6 equation:


x in (-oo:+oo)

abs((8*x-7)/8) = 6 // - 6

abs((8*x-7)/8)-6 = 0

abs((8*x-7)/8)-6 = 0

x in (-oo:+oo)

abs((8*x-7)/8)

(8*x-7)/8 >= 0

( 8*x-7 )

8*x-7 >= 0 // + 7

8*x >= 7 // : 8

x >= 7/8

( 8 )

8 >= 0

x należy do R

(-oo:7/8) (7/8:+oo) 8*x-7 - + 8 + +

x in <7/8:+oo)

(8*x-7)/8-6 = 0

x in (-oo:7/8)

-((8*x-7)/8)-6 = 0

abs((8*x-7)/8)-6 = 0

/ | -((8*x-7)/8)-6 = 0 i x in (-oo:7/8) | (8*x-7)/8-6 = 0 i x in <7/8:+oo)

x in (-oo:7/8)

-((8*x-7)/8)-6 = 0

(-1*(8*x-7))/8-6 = 0

(-1*(8*x-7))/8+(-6*8)/8 = 0

-1*(8*x-7)-6*8 = 0

-8*x-41 = 0

(-8*x-41)/8 = 0

(-8*x-41)/8 = 0 // * 8

-8*x-41 = 0

-8*x-41 = 0 // + 41

-8*x = 41 // : -8

x = 41/(-8)

x = -41/8

x in <7/8:+oo)

(8*x-7)/8-6 = 0

(8*x-7)/8+(-6*8)/8 = 0

8*x-6*8-7 = 0

8*x-55 = 0

(8*x-55)/8 = 0

(8*x-55)/8 = 0 // * 8

8*x-55 = 0

8*x-55 = 0 // + 55

8*x = 55 // : 8

x = 55/8

x in { -41/8, 55/8 }

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