Whakaoti i te 3(x-8)-5(7x-6)=6(3x+2)-5(6x+1)-9x

$$3(x-8)-5(7x-6)=6(3x+2)-5(6x+1)-9x$$

Whakaoti mō x

$$x=-\frac{1}{11}\approx -0.090909091$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-8.

$$3x-24-5\left(7x-6\right)=6\left(3x+2\right)-5\left(6x+1\right)-9x$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te 7x-6.

$$3x-24-35x+30=6\left(3x+2\right)-5\left(6x+1\right)-9x$$

Pahekotia te 3x me -35x, ka -32x.

$$-32x-24+30=6\left(3x+2\right)-5\left(6x+1\right)-9x$$

Tāpirihia te -24 ki te 30, ka 6.

$$-32x+6=6\left(3x+2\right)-5\left(6x+1\right)-9x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te 3x+2.

$$-32x+6=18x+12-5\left(6x+1\right)-9x$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te 6x+1.

$$-32x+6=18x+12-30x-5-9x$$

Pahekotia te 18x me -30x, ka -12x.

$$-32x+6=-12x+12-5-9x$$

Tangohia te 5 i te 12, ka 7.

$$-32x+6=-12x+7-9x$$

Pahekotia te -12x me -9x, ka -21x.

$$-32x+6=-21x+7$$

Me tāpiri te 21x ki ngā taha e rua.

$$-32x+6+21x=7$$

Pahekotia te -32x me 21x, ka -11x.

$$-11x+6=7$$

Tangohia te 6 mai i ngā taha e rua.

$$-11x=7-6$$

Tangohia te 6 i te 7, ka 1.

$$-11x=1$$

Whakawehea ngā taha e rua ki te -11.

$$x=\frac{1}{-11}$$

Ka taea te hautanga \frac{1}{-11} te tuhi anō ko -\frac{1}{11} mā te tango i te tohu tōraro.

$$x=-\frac{1}{11}$$