Whakaoti i te -(4x-6+5x)+(9-5x+3-2x)=7x-(1-6x)

$$- ( 4 x - 6 + 5 x ) + ( 9 - 5 x + 3 - 2 x ) = 7 x - ( 1 - 6 x )$$

Whakaoti mō x

$$x=\frac{19}{29}\approx 0.655172414$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te 4x me 5x, ka 9x.

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

Hei kimi i te tauaro o 9x-6, kimihia te tauaro o ia taurangi.

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

Ko te tauaro o -6 ko 6.

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

Tāpirihia te 6 ki te 9, ka 15.

$$-9x+15-5x+3-2x=7x-\left(1-6x\right)$$

Pahekotia te -9x me -5x, ka -14x.

$$-14x+15+3-2x=7x-\left(1-6x\right)$$

Tāpirihia te 15 ki te 3, ka 18.

$$-14x+18-2x=7x-\left(1-6x\right)$$

Pahekotia te -14x me -2x, ka -16x.

$$-16x+18=7x-\left(1-6x\right)$$

Hei kimi i te tauaro o 1-6x, kimihia te tauaro o ia taurangi.

$$-16x+18=7x-1-\left(-6x\right)$$

Ko te tauaro o -6x ko 6x.

$$-16x+18=7x-1+6x$$

Pahekotia te 7x me 6x, ka 13x.

$$-16x+18=13x-1$$

Tangohia te 13x mai i ngā taha e rua.

$$-16x+18-13x=-1$$

Pahekotia te -16x me -13x, ka -29x.

$$-29x+18=-1$$

Tangohia te 18 mai i ngā taha e rua.

$$-29x=-1-18$$

Tangohia te 18 i te -1, ka -19.

$$-29x=-19$$

Whakawehea ngā taha e rua ki te -29.

$$x=\frac{-19}{-29}$$

Ka taea te hautanga \frac{-19}{-29} te whakamāmā ki te \frac{19}{29} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{19}{29}$$