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

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

Whakaoti mō x

$$x = \frac{23}{17} = 1\frac{6}{17} \approx 1.352941176$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei kimi i te tauaro o 8x-5, kimihia te tauaro o ia taurangi.

$$3-8x-\left(-5\right)+6-7x+3=7x-\left(5x+9-3\right)$$

Ko te tauaro o -5 ko 5.

$$3-8x+5+6-7x+3=7x-\left(5x+9-3\right)$$

Tāpirihia te 3 ki te 5, ka 8.

$$8-8x+6-7x+3=7x-\left(5x+9-3\right)$$

Tāpirihia te 8 ki te 6, ka 14.

$$14-8x-7x+3=7x-\left(5x+9-3\right)$$

Pahekotia te -8x me -7x, ka -15x.

$$14-15x+3=7x-\left(5x+9-3\right)$$

Tāpirihia te 14 ki te 3, ka 17.

$$17-15x=7x-\left(5x+9-3\right)$$

Tangohia te 3 i te 9, ka 6.

$$17-15x=7x-\left(5x+6\right)$$

Hei kimi i te tauaro o 5x+6, kimihia te tauaro o ia taurangi.

$$17-15x=7x-5x-6$$

Pahekotia te 7x me -5x, ka 2x.

$$17-15x=2x-6$$

Tangohia te 2x mai i ngā taha e rua.

$$17-15x-2x=-6$$

Pahekotia te -15x me -2x, ka -17x.

$$17-17x=-6$$

Tangohia te 17 mai i ngā taha e rua.

$$-17x=-6-17$$

Tangohia te 17 i te -6, ka -23.

$$-17x=-23$$

Whakawehea ngā taha e rua ki te -17.

$$x=\frac{-23}{-17}$$

Ka taea te hautanga \frac{-23}{-17} te whakamāmā ki te \frac{23}{17} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{23}{17}$$