Whakaoti mō x
x=-\frac{35}{198}\approx -0.176767677
Graph
Pātaitai
Linear Equation
5 raruraru e ōrite ana ki:
6 \frac { 2 } { 3 } \div x-8=-42 \frac{ 5 }{ 7 } -3
Tohaina
Kua tāruatia ki te papatopenga
7\times \frac{6\times 3+2}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 7x, arā, te tauraro pātahi he tino iti rawa te kitea o x,7.
7\times \frac{18+2}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
Whakareatia te 6 ki te 3, ka 18.
7\times \frac{20}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
Tāpirihia te 18 ki te 2, ka 20.
\frac{7\times 20}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
Tuhia te 7\times \frac{20}{3} hei hautanga kotahi.
\frac{140}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
Whakareatia te 7 ki te 20, ka 140.
\frac{140}{3}-56x=-x\left(42\times 7+5\right)+7x\left(-3\right)
Whakareatia te 7 ki te -8, ka -56.
\frac{140}{3}-56x=-x\left(294+5\right)+7x\left(-3\right)
Whakareatia te 42 ki te 7, ka 294.
\frac{140}{3}-56x=-x\times 299+7x\left(-3\right)
Tāpirihia te 294 ki te 5, ka 299.
\frac{140}{3}-56x=-x\times 299-21x
Whakareatia te 7 ki te -3, ka -21.
\frac{140}{3}-56x+x\times 299=-21x
Me tāpiri te x\times 299 ki ngā taha e rua.
\frac{140}{3}+243x=-21x
Pahekotia te -56x me x\times 299, ka 243x.
\frac{140}{3}+243x+21x=0
Me tāpiri te 21x ki ngā taha e rua.
\frac{140}{3}+264x=0
Pahekotia te 243x me 21x, ka 264x.
264x=-\frac{140}{3}
Tangohia te \frac{140}{3} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.
x=\frac{-\frac{140}{3}}{264}
Whakawehea ngā taha e rua ki te 264.
x=\frac{-140}{3\times 264}
Tuhia te \frac{-\frac{140}{3}}{264} hei hautanga kotahi.
x=\frac{-140}{792}
Whakareatia te 3 ki te 264, ka 792.
x=-\frac{35}{198}
Whakahekea te hautanga \frac{-140}{792} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.
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